Question

If \[\lim_{x -> 0}{\left(\frac{h(x) - 5}{x}\right)} = 1\]find the value of \[\lim_{x->0}{h(x)}\]

Answer 1

I think that it does not exist, but my book says that it's 5. Can someone explain this to me?

Answer 2

What is h(x)

Answer 3

h(x) isn't given

Answer 4

just looking at it, if you have h(5)=5, you get lim x to 0 of (5-5)/0, which would be 0/0, which would be 1. Not sure how you prove it though.

Answer 5

h(x)=5*