What is the limit as x approaches 69 of (x-69)/(sqrt(x)-69) ?

The limit as x approaches 69 of (x-69)/(sqrt(x)-69) is 0

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limit as x approaches 69 of (x-69)/(sqrt(x)-69)

x \to 69 lim (\frac{x - 69}{x - 69})

0

Solution steps

x \to 69 lim (\frac{x - 69}{x - 69})

Plug in the value

x = 69

= \frac{69 - 69}{69 - 69}

Simplify

\frac{69 - 69}{69 - 69} : 0

= 0

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What is the limit as x approaches 69 of (x-69)/(sqrt(x)-69) ?
The limit as x approaches 69 of (x-69)/(sqrt(x)-69) is 0