Question

Evalute the limit:

lim 4-(12+x)^(1/2)
x->4 (x-4)

Answer 1

\[\lim_{x \rightarrow 4} (4 - \sqrt{12+x})/(x-4)\]

Answer 2

multiply both top and bottom by 4+sqrt(12+x)

Answer 3

I did and I (16-16) / 4-4

Answer 4

And I got*

Answer 5

(16-(12+x))/[(x-4)(4+sqrt(12+x))]
(16-12-x)/[(x-4)(4+sqrt(12+x))]

Answer 6

-(x-4)/[(x-4)(4+sqrt(12+x))]
-1/(4+sqrt(12+x)) Plug in x=4
-1/(4+sqrt(12+4))
-1(4+sqrt(16))
-1/(4+4)
-1/8

Answer 7

Thank you so mmuch :) I applied the limit, and forgot to rearrange 4-x to -(x-4)