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

The limit as x approaches 4 of (x^2-5)/(x+5) is 11/9

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limit as x approaches 4 of (x^2-5)/(x+5)

x \to 4 lim (\frac{x ^{2} - 5}{x + 5})

\frac{11}{9}

Decimal

1.22222 \dots

Solution steps

x \to 4 lim (\frac{x ^{2} - 5}{x + 5})

Plug in the value

x = 4

= \frac{4 ^{2} - 5}{4 + 5}

Simplify

= \frac{11}{9}

f (x) = 3 x^{2} - ln (x), (1, 3)

f (x) = x^{5}, at x = 4

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What is the limit as x approaches 4 of (x^2-5)/(x+5) ?
The limit as x approaches 4 of (x^2-5)/(x+5) is 11/9