Question Text
Question 3 :
$ \lim _{ x\rightarrow 1 }{ \dfrac { { { x }^{ n }-1 }  }{ x-1 }  }$ is equal to
Question 5 :
$\displaystyle \lim_{x\rightarrow \infty}\frac {\sqrt {x^2+1}-\sqrt [3]{x^2+1}}{\sqrt [4]{x^4+1}-\sqrt [5]{x^4-1}}$ is equal to<br>
Question 9 :
The value of the limit $\displaystyle\lim _{ x\rightarrow 1 }{ \dfrac { \sin { \left( { e }^{ x-1 }-1 \right) } }{ \log { x } } } $ is
Question 10 :
If a sequence $< a_{n} >$ is such that $a_{1},a_{n+1}=\dfrac {2+3a_{n}}{1+2a_{n}}$ and $\displaystyle \lim_{n \rightarrow \infty}a_{n}$ exists, then $a_{n}$ is equal to
Question 11 :
<div>Evaluate</div>$lim_{x\to 0} \dfrac{\sqrt[K] {1+x} -1}{x}$ ( K is a positive integer )
Question 15 :
$\lim _ { n \rightarrow \infty } \dfrac { 1 } { n ^ { 3} } \left[   \left( 1 ^ { 2 } + 2 ^ { 2 } + \ldots + n ^ { 2 } \right) \right] =?$
Question 16 :
$\displaystyle \lim _{ x\rightarrow 0 } \left(\dfrac{1^{1/x}+2^{1/x}+3^{1/x}+.....n^{1/x}}{n}\right)^{nx} ,\ n\ \epsilon \ N $ is equal to