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

\frac{d}{d x} (3^{a r c t a n (x)})

\frac{\partial}{\partial x} (x y^{2} - 2 y^{3} + 3 x z)

n = 0 \sum \infty \frac{n !}{n ^{3}}

\frac{d}{d x} ((2 x + 3)^{\frac{1}{2}})

\frac{\partial}{\partial x} (3 x^{2} y)

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