What is the limit as x approaches 4 of (x^2-1)/(x-1) ?

The limit as x approaches 4 of (x^2-1)/(x-1) is 5

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limit as x approaches 4 of (x^2-1)/(x-1)

x \to 4 lim (\frac{x ^{2} - 1}{x - 1})

5

Solution steps

x \to 4 lim (\frac{x ^{2} - 1}{x - 1})

Plug in the value

x = 4

= \frac{4 ^{2} - 1}{4 - 1}

Simplify

= 5

x \to - 2 lim (- 1)

x \to \infty lim (3 x - x^{3})

x \to 6 lim (cos (\frac{1}{x} - \frac{1}{6}))

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

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

What is the limit as x approaches 4 of (x^2-1)/(x-1) ?
The limit as x approaches 4 of (x^2-1)/(x-1) is 5