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

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

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

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

4

Solution steps

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

Simplify

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

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

Plug in the value

y = 1

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

Simplify

= 4

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