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Home
NUST Entrance Test
Mathematics
Functions and Limits

Set 1

Mashaal Masha

Oct 05, 2022

0

Table of Contents

$Evaluate $\mathop {\lim }\limits_{x \to 0} \frac{{\sin \left( {6x} \right)}}{x}$$
$Vertical asymptotes of the graph $f(x) = \frac{x-2}{x^{2}-4}$$
$If $f(x)=2$, then find the value of $f(x+2)$$
$If $x$ is a real number, which of the following function is odd?$
$Determine if the function $\frac{f(x)-f(-x)}{2}$ is even or odd$
$If domain of a function $f(x)=x^{2}$ is {$1,-1,0,2,-2$}, find its range$
$Find $f^{-1}(x)$ of $f(x)=x^{3}$$
$Domain of the function $\frac{1}{\sqrt{x^{2}+3x+2}}$ is$
$If $f(x)=2x+3$ and $g(x)=x^{3}$ then find $gof$$
$Evaluate $\mathop {\lim }\limits_{x \to \infty } \left( {\frac{{\ln \left( x \right)}}{x}} \right)$$

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Choose the correct options for the following questions.

Evaluate $\mathop {\lim }\limits_{x \to 0} \frac{{\sin \left( {6x} \right)}}{x}$

Difficulty: Easy

Bookmark

A:

0

B:

\frac{1}{6}

C:

6

D:

Does not exist

View Solution Steps

Vertical asymptotes of the graph $f(x) = \frac{x-2}{x^{2}-4}$

Difficulty: Easy

Bookmark

A:

$x=2$

B:

$x=-2$

C:

$y=2$

D:

Both A and B

View Solution Steps