EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Limits>KCET (UG) 2021>Q 5

EASY

KCET (UG)

IMPORTANT

Earn 100

Consider the following statements:
Statement $1 :$ $\lim_{x \to 1} [\frac{a x^{2} + b x + c}{c x^{2} + b x + a}]$ is $1$ (where $a + b + c \neq 0$ )

Statement $2 :$ $\lim_{x \to - 2} [\frac{\frac{1}{x} + \frac{1}{2}}{x + 2}]$ is $\frac{1}{4}$ .

50% studentsanswered this correctly

Important Questions on Limits

EASY

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Limits>KCET (UG) 2020>Q 1

The right hand and left hand limit of the function

\{\begin{array}{l} \frac{e^{\frac{1}{x}} - 1}{e^{\frac{1}{x}} + 1}, if x \neq 0 \\ 0, if x = 0 \end{array}

are respectively

EASY

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Limits>KCET (UG) 2020>Q 2

\lim_{x \to 0} (\frac{\tan x}{\sqrt{2 x + 4} - 2})

is equal to

MEDIUM

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Limits>KCET (UG) 2019>Q 3

\sum_{r = 1}^{n} (2 r - 1) = x

then

\lim_{n \to \infty} [\frac{1^{3}}{x^{2}} + \frac{2^{3}}{x^{2}} + \frac{3^{3}}{x^{2}} + \dots + \frac{n^{3}}{x^{2}}] =

EASY

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Limits>KCET (UG) 2018>Q 4

The value of

\lim_{x \to 0} \frac{|x|}{x}

is:

EASY

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Limits>KCET (UG) 2021>Q 5

Consider the following statements:
Statement $1 :$ $\lim_{x \to 1} [\frac{a x^{2} + b x + c}{c x^{2} + b x + a}]$ is $1$ (where $a + b + c \neq 0$ )

Statement $2 :$ $\lim_{x \to - 2} [\frac{\frac{1}{x} + \frac{1}{2}}{x + 2}]$ is $\frac{1}{4}$ .