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

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

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limit as n approaches 1 of (n^3-1)/(n-1)

n \to 1 lim (\frac{n ^{3} - 1}{n - 1})

3

Solution steps

n \to 1 lim (\frac{n ^{3} - 1}{n - 1})

Simplify

\frac{n ^{3} - 1}{n - 1} : n^{2} + n + 1

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

Plug in the value

n = 1

= 1^{2} + 1 + 1

Simplify

= 3

x \to 0 lim (\frac{x ^{2} - 2 x}{3 x})

x \to 0 lim (\frac{x - 2}{∣ x ∣ - 2})

x \to - 8 - lim (f (x))

x \to \infty lim (ln (x) sin (\frac{1}{x}))

x \to 0 + lim (cos^{\frac{1}{x}} (3 x))

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