What is the limit as x approaches a+1 of x^2-1 ?

The limit as x approaches a+1 of x^2-1 is a^2+2a

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limit as x approaches a+1 of x^2-1

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

a^{2} + 2 a

Solution steps

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

Plug in the value

x = a + 1

= (a + 1)^{2} - 1

Simplify

(a + 1)^{2} - 1 : a^{2} + 2 a

= a^{2} + 2 a

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What is the limit as x approaches a+1 of x^2-1 ?
The limit as x approaches a+1 of x^2-1 is a^2+2a