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

The limit as x approaches 5 of ((x-5))/(sqrt(x^2+5)) is 0

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

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

0

Solution steps

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

Plug in the value

x = 5

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

Simplify

= 0

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What is the limit as x approaches 5 of ((x-5))/(sqrt(x^2+5)) ?
The limit as x approaches 5 of ((x-5))/(sqrt(x^2+5)) is 0