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4-24.
  1. 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