EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Limits>Assam CEE 2016>Q 6

EASY

Assam CEE

IMPORTANT

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If $\lim_{x \to 0} \frac{x^{a} \sin^{b} x}{\sin x^{c}}, a, b, c, \in R ~ \{0\}$ exists and has non-zero value, then

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Important Questions on Limits

EASY

Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Limits>Assam CEE 2016>Q 7

If the function

f (x)

satisfies

\lim_{x \to 2} \frac{f (x) - 1}{x^{2} - 4} = e

then

\lim_{x \to 2} f (x)

is equal to

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 18 - Limits>Assam CEE 2016>Q 8

l_{n}

and

k_{n}

are positive integers and

l_{n} + \sqrt{3} k_{n} = {(3 + \sqrt{3})}^{n}

, then

\lim_{n \to \infty} \tan^{- 1} (\frac{l_{n}}{k_{n}})

is