Question Text
Question 1 :
The value of the limit $\displaystyle\lim _{ x\rightarrow 1 }{ \dfrac { \sin { \left( { e }^{ x-1 }-1 \right) } }{ \log { x } } } $ is
Question 6 :
$\displaystyle \lim_{x\rightarrow \infty}\frac {\sqrt {x^2+1}-\sqrt [3]{x^2+1}}{\sqrt [4]{x^4+1}-\sqrt [5]{x^4-1}}$ is equal to<br>
Question 9 :
$ \lim _{ x\rightarrow 1 }{ \dfrac { { { x }^{ n }-1 }  }{ x-1 }  }$ is equal to
Question 10 :
$\underset{x \rightarrow 0}{Lt}\dfrac{\sqrt{3 + x^5} - \sqrt{3 - x^5}}{\sin x} =$
Question 11 :
Find the value of $\lim_{x \rightarrow 0} \dfrac{2x^2 + 3x + 4}{2}$
Question 12 :
$\underset { x\rightarrow 1 }{ Lt } { (1+\sin\pi x) }{ \pi x }$ 
Question 13 :
Find the value of k so that the function f is continuous at the indicated point.$f(x)={\begin{matrix} kx^2 & , x\leq 2 \\ 3 & , x>2 \end{matrix}}$ at $x=2$.
Question 14 :
Identify the value of $\displaystyle\lim_{x \rightarrow 2} x^2 - 5x + 6$
Question 16 :
If $f(x)=\left\{\begin{matrix}<br>4x, & x < 0\\ <br>1, & x=0\\<br>3x^2, & x > 0<br>\end{matrix}\right.$ then $\displaystyle \lim_{x\rightarrow 0}f(x)$ equals<br>