Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 18 - Introduction to Limits and Derivatives>Entrances Gallery

Amit M Agarwal Solutions for Chapter: Introduction to Limits and Derivatives, Exercise 4: Entrances Gallery

Author:Amit M Agarwal

Amit M Agarwal Mathematics Solutions for Exercise - Amit M Agarwal Solutions for Chapter: Introduction to Limits and Derivatives, Exercise 4: Entrances Gallery

Attempt the free practice questions on Chapter 18: Introduction to Limits and Derivatives, Exercise 4: Entrances Gallery with hints and solutions to strengthen your understanding. Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1 solutions are prepared by Experienced Embibe Experts.

Questions from Amit M Agarwal Solutions for Chapter: Introduction to Limits and Derivatives, Exercise 4: Entrances Gallery with Hints & Solutions

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 18 - Introduction to Limits and Derivatives>Entrances Gallery>Q 55

The value of $\lim_{x \to \frac{π}{2}} \frac{\sin (\cos x) \cos x}{\sin x - cosec x}$ is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 18 - Introduction to Limits and Derivatives>Entrances Gallery>Q 56

If $\lim_{x \to 0} \frac{a e^{x} - b \cos x + c e^{- x}}{x \sin x} = 2,$ then

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 18 - Introduction to Limits and Derivatives>Entrances Gallery>Q 57

If $f (5) = 7$ and $f^{'} (5) = 7,$ then $\lim_{x \to 5} \frac{x f (5) - 5 f (x)}{x - 5}$ is equal to

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 18 - Introduction to Limits and Derivatives>Entrances Gallery>Q 58

$\lim_{x \to \infty} (\frac{x^{3}}{3 x^{2} - 4} - \frac{x^{2}}{3 x + 2})$ is equal to

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 18 - Introduction to Limits and Derivatives>Entrances Gallery>Q 59

$\lim_{x \to 0} (\frac{x}{\sqrt{1 + x} - \sqrt{1 - x}})$ is equal to

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 18 - Introduction to Limits and Derivatives>Entrances Gallery>Q 60

The value of $\lim_{x \to 0} {(\frac{1 + 5 x^{2}}{1 + 3 x^{2}})}^{\frac{1}{x^{2}}}$ is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 18 - Introduction to Limits and Derivatives>Entrances Gallery>Q 61

$\lim_{x \to 0} \frac{\sin | x |}{x}$ is equal to

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 18 - Introduction to Limits and Derivatives>Entrances Gallery>Q 63

The value of $\lim_{x \to 0} \frac{1 - \cos (1 - \cos x)}{x^{4}}$ is