What is the limit as x approaches 5 of ((x^4-625))/(x-5) ?

The limit as x approaches 5 of ((x^4-625))/(x-5) is 500

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limit as x approaches 5 of ((x^4-625))/(x-5)

x \to 5 lim (\frac{( x ^{4} - 625 )}{x - 5})

500

Solution steps

x \to 5 lim (\frac{x ^{4} - 625}{x - 5})

Simplify

\frac{x ^{4} - 625}{x - 5} : (x^{2} + 25) (x + 5)

= x \to 5 lim ((x^{2} + 25) (x + 5))

Plug in the value

x = 5

= (5^{2} + 25) (5 + 5)

Simplify

= 500

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\int (5 x^{2} - 4 x) e^{2 x} d x

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

What is the limit as x approaches 5 of ((x^4-625))/(x-5) ?
The limit as x approaches 5 of ((x^4-625))/(x-5) is 500