Evaluate: _ x 1 2x^ 2 +4x+4 2x-1 : - Vidyadip

MCQ

Evaluate: $\displaystyle \lim_{\text{x}\rightarrow 1}\frac{2\text{x}^{2}+4\text{x}+4}{2\text{x}-1}:$

A
$1$
✓
$10$
C
$20$
D
$5$

✓

Answer

Correct option: B.

$10$

Given, $\displaystyle \lim_{\text{x}\rightarrow 1}\frac{2\text{x}^{2}+4\text{x}+4}{2\text{x}-1}:$
Substituting $x = 1$ we get
$\displaystyle \lim_{\text{x}\rightarrow 1}\frac{2\text{x}^{2}+4\text{x}+4}{2\text{x}-1}=$
$=\displaystyle \lim_{\text{x}\rightarrow 1}\frac{2\text{(1)}^{2}+4\text{(1)}+4}{2\text{(1)}-1}$
$=\displaystyle \lim_{\text{x}\rightarrow 1}\frac{2\text{}+4\text{}+4}{2\text{}-1}$
$=10$

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