_ x 1 x^8-2 x+1 x^4-2 x+1 equals - Vidyadip

MCQ

$\lim _{x \rightarrow 1} \frac{x^8-2 x+1}{x^4-2 x+1}$ equals

✓
3
B
$0$
C
-3
D
1

✓

Answer

Correct option: A.

3

(A)
Applying L-Hospital's Rule, we get
$\lim _{x \rightarrow 1} \frac{x^8-2 x+1}{x^4-2 x+1}=\lim _{x \rightarrow 1} \frac{8 x^7-2}{4 x^3-2}=3$

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