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

x \frac{d y}{d x} - y = 0, y (a) = b

y^{^{'}} + 2 x y = x

\int - x arctan (x) d x

\int_{0}^{1} x^{2} + 1 d x

\frac{\partial}{\partial y} (cos (x + y^{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