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

The limit as h approaches 2 of ((2+h)^2-4)/h is 6

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

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

6

Solution steps

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

Plug in the value

h = 2

= \frac{( 2 + 2 ) ^{2} - 4}{2}

Simplify

= 6

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What is the limit as h approaches 2 of ((2+h)^2-4)/h ?
The limit as h approaches 2 of ((2+h)^2-4)/h is 6