Question

how do u find f(x) and a when a point is not given? like the limit of sqrt(36 +h) -6/h, as h approaches 0

Answer 1

\[f(x)=\sqrt{x}\text{ and }a=36\]

Answer 2

how did u come to that answer?

Answer 3

it looks like you are taking a derivative using the definition.

\[\lim_{h\to0}\frac{f(a+h)-f(a)}{h}\]

replace f and a with what I have written above

Answer 4

i understand how u arrived at 36 for a, but how do u get sqrt(x) for f?