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Maths-

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Question

The value of $x rightwards arrow 0 I i m fraction numerator 2 7 to the power of chi end exponent minus 9 to the power of chi end exponent minus 3 to the power of chi end exponent plus 1 over denominator square root of 5 minus square root of 4 plus blank c o s blank x end root end fraction$ is

$\sqrt{5} ($ Iog $3)^{2}$
$8 \sqrt{5}$ Iog3
$16 \sqrt{5} | o g 3$
$8 \sqrt{5} (I o g 3)^{2}$

The correct answer is: $8 square root of 5 left parenthesis I o g 3 right parenthesis to the power of 2 end exponent$

Related Questions to study

$x rightwards arrow 0 I i m left square bracket fraction numerator e to the power of chi end exponent minus e to the power of blank s i n blank x end exponent over denominator x minus blank s i n blank x end fraction right square bracket$ is equal to

$x rightwards arrow 0 I i m left square bracket fraction numerator e to the power of chi end exponent minus e to the power of blank s i n blank x end exponent over denominator x minus blank s i n blank x end fraction right square bracket$ is equal to

$chi rightwards arrow infinity I i m left parenthesis 1 minus fraction numerator 4 over denominator x minus 1 end fraction right parenthesis to the power of 3 x minus 1 end exponent equals$

$chi rightwards arrow infinity I i m left parenthesis 1 minus fraction numerator 4 over denominator x minus 1 end fraction right parenthesis to the power of 3 x minus 1 end exponent equals$

lim $stack e to the power of chi end exponent minus e to the power of negative x end exponent with _ below$ is $x rightwards arrow 0$ $s vertical line n x$

lim $stack e to the power of chi end exponent minus e to the power of negative x end exponent with _ below$ is $x rightwards arrow 0$ $s vertical line n x$

parallel

$x rightwards arrow 0 I i m fraction numerator x blank t a n blank 2 x minus 2 x blank t a n blank x over denominator left parenthesis 1 minus blank c o s blank 2 x right parenthesis to the power of 2 end exponent end fraction$ is

$x rightwards arrow 0 I i m fraction numerator x blank t a n blank 2 x minus 2 x blank t a n blank x over denominator left parenthesis 1 minus blank c o s blank 2 x right parenthesis to the power of 2 end exponent end fraction$ is

$stack l i m with x rightwards arrow infinity below square root of fraction numerator x plus s i n invisible function application x over denominator x minus c o s invisible function application x end fraction end root equals$

$stack l i m with x rightwards arrow infinity below square root of fraction numerator x plus s i n invisible function application x over denominator x minus c o s invisible function application x end fraction end root equals$

$stack l i m with x rightwards arrow 0 below fraction numerator x times 2 to the power of x end exponent minus x over denominator 1 minus c o s invisible function application x end fraction equals$

$stack l i m with x rightwards arrow 0 below fraction numerator x times 2 to the power of x end exponent minus x over denominator 1 minus c o s invisible function application x end fraction equals$

parallel

$stack l i m with x rightwards arrow 0 below$ $fraction numerator square root of 0 plus 2 x end root minus square root of 3 x end root over denominator square root of 30 plus x end root minus 2 square root of chi end fraction equals$

$stack l i m with x rightwards arrow 0 below$ $fraction numerator square root of 0 plus 2 x end root minus square root of 3 x end root over denominator square root of 30 plus x end root minus 2 square root of chi end fraction equals$

$chi rightwards arrow right ceiling I i m fraction numerator x minus 1 over denominator 2 x to the power of 2 end exponent minus 7 x plus 5 end fraction equals$

$chi rightwards arrow right ceiling I i m fraction numerator x minus 1 over denominator 2 x to the power of 2 end exponent minus 7 x plus 5 end fraction equals$

$x rightwards arrow 0 I i m fraction numerator vertical line x vertical line over denominator chi end fraction equals$

$x rightwards arrow 0 I i m fraction numerator vertical line x vertical line over denominator chi end fraction equals$

parallel

If $f left parenthesis x right parenthesis equals left curly bracket x blank s i n blank fraction numerator 1 over denominator chi end fraction comma$ $x not equal to 0$ , then $stack l i m with x rightwards arrow 0 below f left parenthesis x right parenthesis equals$ $0 comma$ x=0

If $f left parenthesis x right parenthesis equals left curly bracket x blank s i n blank fraction numerator 1 over denominator chi end fraction comma$ $x not equal to 0$ , then $stack l i m with x rightwards arrow 0 below f left parenthesis x right parenthesis equals$ $0 comma$ x=0

A class contains 3 girls and four boys. Every Saturday five students go on a picnic, a different group of students is being sent each week. During the picnic, each girl in the group is given a doll by the accompanying teacher. All possible groups of five have gone once, the total number of dolls the girls have got is:

A class contains 3 girls and four boys. Every Saturday five students go on a picnic, a different group of students is being sent each week. During the picnic, each girl in the group is given a doll by the accompanying teacher. All possible groups of five have gone once, the total number of dolls the girls have got is:

Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. The number of ways in which we can place the balls in the boxes ( order is not considered in the box) so that no box remains empty is

Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. The number of ways in which we can place the balls in the boxes ( order is not considered in the box) so that no box remains empty is

parallel

If the equations x²+ax+b=0 and x²+bx+a=0 have exactly one common root, then the numerical value of a + b is

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x⁴ –4x –1 = 0 has

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The set of values of p for which the roots of the equation 3x² +2x +p(p-1) = 0 are of opposite sign is

The set of values of p for which the roots of the equation 3x² +2x +p(p-1) = 0 are of opposite sign is

parallel

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