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Maths-

General

Easy

Question

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

$- 1$
$0$
1
None of these

The correct answer is: 1

Related Questions to study

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

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

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

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parallel

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

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

parallel

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

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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

parallel

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:

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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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parallel

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parallel

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