$lim_(x->3) (sqrt3x-3)/(sqrt(2x-4) - sqrt2)$ Evalute?

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Answer 1 · 2017-04-11T16:54:00

The Limit does not exist.

Reqd Lim. $=lim_(x to 3)(sqrt3x-3)/(sqrt(2x-4)-sqrt2).$

$=lim_(x to 3)(sqrt3x-3)/(sqrt(2x-4)-sqrt2)xx(sqrt(2x-4)+sqrt2)/(sqrt(2x-4)+sqrt2).$

$=lim_(x to 3) {(sqrt3x-3)(sqrt(2x-4)+sqrt2)}/{(2x-4)-2}$

$=lim_(x to 3){(sqrt3x-3)(sqrt(2x-4)+sqrt2)}/{2(x-3)}$

So, as long as, $(x-3)$ is there in the Dr., the limit does not exist.

lim_(x->3) (sqrt3x-3)/(sqrt(2x-4) - sqrt2)lim_(x->3) (sqrt3x-3)/(sqrt(2x-4) - sqrt2) Evalute?