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

\frac{d}{d x} (\frac{3}{2} x)

cos (3 t - 1)

y^{^{''}} + 7 y^{^{'}} + 10 y = - 11 t e^{2 t}

\int (4 x + 1)^{3} d x

- sec (\frac{1}{x} + 7 x)

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