How do we find the limit here? :

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1 Answer
Dimri
Feb 26, 2018

#4#

Explanation:

Rationalize the denominator by multiplying and dividing by #sqrt(x)+2#

#lim_(x->4) (x-4)/(sqrtx-2) xx (sqrt(x)+2)/(sqrt(x)+2)#

#lim_(x->4) ((x-4)(sqrt(x)+2))/(x-4)#

#lim_(x->4) (cancel(x-4)(sqrt(x)+2))/cancel(x-4)#

#lim_(x->4) sqrt(x)+2#

This gives #4#

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