Ex with lim: #lim_(x->4) ((sqrt(2x-7)-1)/(sqrt(x-3)-1))# ?

1 Answer
Noah G
Nov 23, 2017

The limit equals #2#

Explanation:

We have using L'hospitals:

#L = lim_(x->4) (2/(2sqrt(2x - 7)))/(1/(2sqrt(x - 3))#

#L = lim_(x->4) 2(sqrt(x - 3)/(sqrt(2x - 7)))#

We can now evaluate:

#L = 2(sqrt(4 - 3))/sqrt(2(4) - 7)#

#L = 2#

We confirm graphically:
enter image source here

Hopefully this helps!

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