Question

$\underset{x\to -1}{lim}\frac{x^5+1}{x+1}$= ?

• A. $1$
• B. $-5$
• C. $5$
• D. None of these

Answer 1

The correct option is C $5$

$\underset{x\to -1}{lim}\frac{x^5+1}{x+1}=\frac{{-1}^5+1}{-1+1}\frac{0}{0}$form

Using L-Hospital Rule

$=\underset{x\to -1}{lim}\frac{5x^4+0}{1+0}=5$