Question

सीमाओं के मान प्राप्त कीजिए : $\lim_{x\rightarrow-1}\dfrac{x^{10} + x^5 + 1}{x-1}$

Answer 1

Question:-

Evaluate $\displaystyle\sf {\lim_{x\to-1}\dfrac {x^{10}+x^5+1}{x-1}}$

Answer:-

$\displaystyle\large\boxed {\sf {\lim_{x\to-1}\dfrac {x^{10}+x^5+1}{x-1}=-\dfrac {1}{2}}}$

Solution:-

We can directly take $\displaystyle\sf {x}$ as $\displaystyle\sf {-1.}$ No problem!

So,

$\displaystyle\sf {\lim_{x\to-1}\dfrac {x^{10}+x^5+1}{x-1}=\dfrac {(-1)^{10}+(-1)^5+1}{-1-1}}$

$\displaystyle\sf {\underline {\underline {\lim_{x\to-1}\dfrac {x^{10}+x^5+1}{x-1}=-\dfrac {1}{2}}}}$