The value of displaystyle lim-xrightarrow 2- dfrac -x-4- - 16-x - 2- is33013230

Question

The value of displaystyle lim-xrightarrow 2- dfrac -x-4- - 16-x - 2-  is33013230

Toppr Admin · Accepted Answer

The value of the limit limx-x2192-2x4-x2212-16x-x2212-2 is-limx-x2192-2-x2-x2212-4-x2-4-x-x2212-2-limx-x2192-2-x-x2212-2-x-2-x2-4-x-x2212-2-limx-x2192-2-x-2-x2-4-32

The value of $lim x \to 2 \frac{(x^{4} - 16)}{x - 2}$ is
$33$
$0$
$1$
$32$
$30$

The value of the limit $lim x \to 2 \frac{x^{4} - 16}{x - 2}$ is

$= lim x \to 2 \frac{(x^{2} - 4) (x^{2} + 4)}{x - 2}$

$= lim x \to 2 \frac{(x - 2) (x + 2) (x^{2} + 4)}{x - 2}$

$= lim x \to 2 (x + 2) (x^{2} + 4)$

$= 32$

The value of limx→2(x4−16)x−2 is33013230

The value of the limit limx→2x4−16x−2 is=limx→2(x2−4)(x2+4)x−2=limx→2(x−2)(x+2)(x2+4)x−2=limx→2(x+2)(x2+4)=32

The value of $lim x \to 2 \frac{(x^{4} - 16)}{x - 2}$ is
$33$
$0$
$1$
$32$
$30$

The value of the limit $lim x \to 2 \frac{x^{4} - 16}{x - 2}$ is

$= lim x \to 2 \frac{(x^{2} - 4) (x^{2} + 4)}{x - 2}$

$= lim x \to 2 \frac{(x - 2) (x + 2) (x^{2} + 4)}{x - 2}$

$= lim x \to 2 (x + 2) (x^{2} + 4)$

$= 32$