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

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