What is the limit as x approaches 0 of (x+h)^2-1 ?

The limit as x approaches 0 of (x+h)^2-1 is h^2-1

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limit as x approaches 0 of (x+h)^2-1

x \to 0 lim ((x + h)^{2} - 1)

h^{2} - 1

Solution steps

x \to 0 lim ((x + h)^{2} - 1)

Plug in the value

x = 0

= (0 + h)^{2} - 1

Simplify

= h^{2} - 1

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What is the limit as x approaches 0 of (x+h)^2-1 ?
The limit as x approaches 0 of (x+h)^2-1 is h^2-1