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Question

L t subscript left parenthesis x rightwards arrow pi divided by 2 right parenthesis invisible function application left parenthesis left square bracket 1 minus t a n invisible function application x divided by 2 right floor left square bracket 1 minus s i n invisible function application x right square bracket right parenthesis divided by left parenthesis left square bracket 1 plus t a n invisible function application x divided by 2 right square bracket left square bracket pi minus 2 x right square bracket cubed right parenthesis equals

  1. 1 divided by 8
  2. 0
  3. 1 divided by 32
  4. infinity

The correct answer is: 1 divided by 32

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L t subscript left parenthesis x rightwards arrow a right parenthesis invisible function application left parenthesis √ left parenthesis a plus 2 x right parenthesis minus √ 3 x right parenthesis divided by left parenthesis √ left parenthesis 3 a plus x right parenthesis minus 2 √ x right parenthesis equals

L t subscript left parenthesis x rightwards arrow a right parenthesis invisible function application left parenthesis √ left parenthesis a plus 2 x right parenthesis minus √ 3 x right parenthesis divided by left parenthesis √ left parenthesis 3 a plus x right parenthesis minus 2 √ x right parenthesis equals

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For such questions, we should know the different formulas of limits.

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For such questions, we should know different formulae of limit.

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A reserve of 12 railway station masters is to be divided into two groups of 6 each one for day duty and the other for night duty. The number of ways in which this can be done if two specified persons A,B should not be included in the same group is

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For such questions, we should know different rules and formulae of limits.

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L t subscript left parenthesis x rightwards arrow infinity right parenthesis invisible function application left parenthesis 2 plus c o s squared invisible function application x right parenthesis divided by left parenthesis x plus 2007 right parenthesis

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L t subscript left parenthesis x rightwards arrow infinity right parenthesis invisible function application left parenthesis √ left parenthesis x squared plus x right parenthesis minus x right parenthesis

For such questions, we have to remember the different formulas of limit.

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For such questions, we have to remember the different formulas of limit.

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4 L t subscript left parenthesis x rightwards arrow infinity right parenthesis invisible function application left square bracket √ left parenthesis x squared plus a x plus b right parenthesis minus x right square bracket

For such questions, we should know different formulas of limit.

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