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

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

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

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

- \frac{( - 2 ) ^{n} - 1}{3}

Solution steps

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

Plug in the value

x = - 2

= \frac{( - 2 ) ^{n} - 1}{- 2 - 1}

Simplify

= - \frac{( - 2 ) ^{n} - 1}{3}

\int \frac{5 x ^{2} + 2 x + 5}{x ^{3} - 1} d x

x \to 0 lim (8^{x})

f (x) = 2

\int (ln (12 x) - ln (4 x)) d x

f (x) = \frac{- 8}{x - 1}

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