What is the limit as x approaches 1 of (x^4-1)/(x-1) ?

The limit as x approaches 1 of (x^4-1)/(x-1) is 4

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limit as x approaches 1 of (x^4-1)/(x-1)

x \to 1 lim (\frac{x ^{4} - 1}{x - 1})

4

Solution steps

x \to 1 lim (\frac{x ^{4} - 1}{x - 1})

Simplify

\frac{x ^{4} - 1}{x - 1} : (x^{2} + 1) (x + 1)

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

Plug in the value

x = 1

= (1^{2} + 1) (1 + 1)

Simplify

= 4

f (- 2) = 2 x^{4}

\frac{d}{d x} ((4 x + 1)^{2})

\frac{d}{d x} (\frac{1}{( 1 - 2 x )})

e^{4 t}

\frac{d}{d x} (2 x^{4} + x^{3} + 5 x^{2} - 3 x + 8)

What is the limit as x approaches 1 of (x^4-1)/(x-1) ?
The limit as x approaches 1 of (x^4-1)/(x-1) is 4