What is the limit as x approaches 1.01 of 1/(x^2-1) ?

The limit as x approaches 1.01 of 1/(x^2-1) is 49.75124…

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limit as x approaches 1.01 of 1/(x^2-1)

x \to 1.01 lim (\frac{1}{x ^{2} - 1})

49.75124 \dots

Solution steps

x \to 1.01 lim (\frac{1}{x ^{2} - 1})

Plug in the value

x = 1.01

= \frac{1}{1.0 1 ^{2} - 1}

Simplify

= 49.75124 \dots

\frac{d}{d x} (1 + 3 x + 9 x^{2})

f (x) = 5 x^{2}

(9 x^{2} + y - 1) d x - (14 y - x) d y = 0, y (1) = 0

\int_{0}^{1} (x + 1 - x^{2}) d x

\int 1 0^{x} (2^{- x} + 5^{- x}) d x

What is the limit as x approaches 1.01 of 1/(x^2-1) ?
The limit as x approaches 1.01 of 1/(x^2-1) is 49.75124…