What is the limit as x approaches 5 of (x^2-25)/(3x-15) ?

The limit as x approaches 5 of (x^2-25)/(3x-15) is 10/3

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limit as x approaches 5 of (x^2-25)/(3x-15)

x \to 5 lim (\frac{x ^{2} - 25}{3 x - 15})

\frac{10}{3}

Decimal Notation

3.33333 \dots

Solution steps

x \to 5 lim (\frac{x ^{2} - 25}{3 x - 15})

Simplify

\frac{x ^{2} - 25}{3 x - 15} : \frac{1}{3} (x + 5)

= x \to 5 lim (\frac{1}{3} (x + 5))

Plug in the value

x = 5

= \frac{1}{3} (5 + 5)

Simplify

\frac{1}{3} (5 + 5) : \frac{10}{3}

= \frac{10}{3}

(1 - x)^{2} + x^{3}

x \to 5 lim (\frac{1}{x ^{2} + x})

\int \frac{1}{- 2 x ^{2} + 8 x + 4} d x

\int_{0}^{3} (2 x - x^{2})^{3} (1 - x) d x

\frac{\partial}{\partial x} (z^{2} cos (y x))

What is the limit as x approaches 5 of (x^2-25)/(3x-15) ?
The limit as x approaches 5 of (x^2-25)/(3x-15) is 10/3