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

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

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

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

1

Solution steps

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

Plug in the value

x = 2

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

Simplify

= 1

x \to 0 + lim (x ln (x) - 1)

x \to \infty lim (- 17 x^{2})

x \to \frac{3 π}{4} lim (sin (2 x))

x \to 0 lim ((1 + 9 x)^{\frac{1}{x}})

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

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