Determine the following limits quickly. Homework Help ✎
Factor first. The denominator might 'cancel out.'
This is Hana's definition of a derivative at a point.
What is f(x)?
What is a?
What is f '(x)?
What is f '(a)?
f(x) = x2
a = 1
f '(x) = 2x
f '(a) = 2
Therefore the limit as h→0 = f '(a) = 2