Question

[lim h-> 0] ((x+h)^2 -3 (x+h) - x^2+3x)/h

how do i begin to find the limit? help please

Answer 1

First off evaluate your expression

Answer 2

Simplify (x+h)^2 -3 (x+h) - x^2+3x

Answer 3

\[(x+h)^2 -3 (x+h) - x^2+3x\]
\[=(x^2+2xh+h^2 -3x-3h- x^2+3x)/h\]
\[=(2xh+h^2 -3h)/h\]