Question

what is 64-x/8-sqrt of x
when x approaches 64?

Answer 1

\[\lim_{x \rightarrow 64} (64-x)/(8-\sqrt{x})\]

You can see that upside (64-x) Is a difference of squares And you can factorize (64-x)=(8-√x)(8+√x)

So i will leave us with

\[\lim_{x \rightarrow 64} (8-√x)(8+√x)/(8-\sqrt{x})\]

Cancel up and down. (8-√x)

And evaluate the limit, and it will be.

16

Answer 2

Thanks so much!

Answer 3

You are welcome.