### Home > CALC > Chapter 4 > Lesson 4.1.2 > Problem 4-24

4-24.

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*) = *x*^{2}*a* = 1*f* '(*x*) = 2*x**f* '(*a*) = 2

Therefore the limit as *h*→0 = *f* '(*a*) = 2