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

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

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

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

0

Solution steps

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

Plug in the value

h = 0

= (x + 0)^{2} - x^{2}

Simplify

= 0

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