What is the limit as u approaches 1 of (u^2-1)/(u-1) ?

The limit as u approaches 1 of (u^2-1)/(u-1) is 2

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limit as u approaches 1 of (u^2-1)/(u-1)

u \to 1 lim (\frac{u ^{2} - 1}{u - 1})

2

Solution steps

u \to 1 lim (\frac{u ^{2} - 1}{u - 1})

Simplify

\frac{u ^{2} - 1}{u - 1} : u + 1

= u \to 1 lim (u + 1)

Plug in the value

u = 1

= 1 + 1

Simplify

= 2

x \to 6 lim (2)

x \to 0 lim (\frac{7 x + 5 x ^{2}}{x})

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

x \to \frac{1}{2} lim (2 x - 1)

x \to - 4 lim ((3 x + 2) (x - 2))

What is the limit as u approaches 1 of (u^2-1)/(u-1) ?
The limit as u approaches 1 of (u^2-1)/(u-1) is 2