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

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

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

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

2

Solution steps

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

Simplify

\frac{x ^{2} - 1}{x - 1} : x + 1

= x \to 1 - lim (x + 1)

Plug in the value

x = 1

= 1 + 1

Simplify

= 2

\int \frac{x}{( x + 1 ) ( x + 2 ) ^{2}} d x

\frac{d y}{d x} = 2 y + 1

n = 0 \sum \infty \frac{2}{1.1 5 ^{n}}

y^{^{''}} + 25 y = - 30 sec (5 t)

\frac{d}{d x} (\frac{3 x ^{2} - 6}{2 x + 3})

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