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

y^{^{'}} = \frac{2 - e ^{x}}{3 + 2 y}

x \to 7 lim (\frac{x - 7}{x - 4 - 3})

\int e^{\frac{- x}{10}} d x

y = 2 x^{3} - x^{2} + 6, (2, 18)

y^{^{'}} = \frac{y}{x} + tan (\frac{y}{x})

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