What is the limit as x approaches 3 of (x^2-1)/(x-1) ?

The limit as x approaches 3 of (x^2-1)/(x-1) is 4

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limit as x approaches 3 of (x^2-1)/(x-1)

x \to 3 lim (\frac{x ^{2} - 1}{x - 1})

4

Solution steps

x \to 3 lim (\frac{x ^{2} - 1}{x - 1})

Plug in the value

x = 3

= \frac{3 ^{2} - 1}{3 - 1}

Simplify

= 4

\frac{d}{d x} (e^{x} (x - 7))

\frac{\partial}{\partial x} (y^{3} e^{\frac{x ^{2}}{2 y}})

\frac{f ( x )}{g ( x )}

\int e^{5 x} 3 e^{5 x} + 2 d x

\int \frac{3 x - 1}{4 - a x} d x

What is the limit as x approaches 3 of (x^2-1)/(x-1) ?
The limit as x approaches 3 of (x^2-1)/(x-1) is 4