What is the limit as h approaches 0 of ((2+h)^2-4)/h ?

The limit as h approaches 0 of ((2+h)^2-4)/h is 4

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limit as h approaches 0 of ((2+h)^2-4)/h

h \to 0 lim (\frac{( 2 + h ) ^{2} - 4}{h})

4

Solution steps

h \to 0 lim (\frac{( 2 + h ) ^{2} - 4}{h})

Simplify

\frac{( 2 + h ) ^{2} - 4}{h} : h + 4

= h \to 0 lim (h + 4)

Plug in the value

h = 0

= 0 + 4

Simplify

= 4

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What is the limit as h approaches 0 of ((2+h)^2-4)/h ?
The limit as h approaches 0 of ((2+h)^2-4)/h is 4