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

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

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

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

\frac{1}{1 - n}

Solution steps

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

Plug in the value

x = 1

= \frac{1 ^{n}}{1 - n}

Simplify

= \frac{1}{1 - n}

\frac{d}{d x} (ln ∣ e^{x y} cos (x) ∣)

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

7 x + 2, at x = 2

5^{3 x}

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

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