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

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

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

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

3

Solution steps

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

Simplify

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

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

Plug in the value

s = 1

= 1^{2} + 1 + 1

Simplify

= 3

x \to 6 lim (5 x)

\int_{0}^{2} (x - 1)^{25} d x

\int_{- \infty}^{0} (x e^{2 x}) d x

\frac{d}{d x} (cos^{4} (3 x^{2}))

n = 1 \sum \infty \frac{1}{n ^{2} + n ^{3}}

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