What is the limit as x approaches 1 of (5-5x)/(1-sqrt(x)) ?

The limit as x approaches 1 of (5-5x)/(1-sqrt(x)) is 10

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limit as x approaches 1 of (5-5x)/(1-sqrt(x))

x \to 1 lim (\frac{5 - 5 x}{1 - x})

10

Solution steps

x \to 1 lim (\frac{5 - 5 x}{1 - x})

Rationalize denominator

\frac{5 - 5 x}{1 - x} : 5 (x + 1)

= x \to 1 lim (5 (x + 1))

Plug in the value

x = 1

= 5 (1 + 1)

Simplify

= 10

n = 0 \sum \infty n^{n} a^{n}

\int x^{\frac{1}{3}} sin (x^{\frac{4}{3}} - 8) d x

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

\frac{\partial}{\partial u ( v )} (u (v)^{2} e^{- v})

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

What is the limit as x approaches 1 of (5-5x)/(1-sqrt(x)) ?
The limit as x approaches 1 of (5-5x)/(1-sqrt(x)) is 10