What is the limit as x approaches 129 of ((x-129))/(sqrt(x+15)-12) ?

The limit as x approaches 129 of ((x-129))/(sqrt(x+15)-12) is 24

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limit as x approaches 129 of ((x-129))/(sqrt(x+15)-12)

x \to 129 lim (\frac{( x - 129 )}{x + 15 - 12})

24

Solution steps

x \to 129 lim (\frac{x - 129}{x + 15 - 12})

Rationalize denominator

\frac{x - 129}{x + 15 - 12} : x + 15 + 12

= x \to 129 lim (x + 15 + 12)

Plug in the value

x = 129

= 129 + 15 + 12

Simplify

129 + 15 + 12 : 24

= 24

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What is the limit as x approaches 129 of ((x-129))/(sqrt(x+15)-12) ?
The limit as x approaches 129 of ((x-129))/(sqrt(x+15)-12) is 24