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Popular >

limit as x approaches 3 of ((x^2-24x+25)(sqrt(x)+5))/(sqrt(x-5))

Solution

x \to 3 lim (\frac{( x ^{2} - 24 x + 25 ) ( x + 5 )}{x - 5})

Solution

Does not exist

Solution steps

x \to 3 lim (\frac{( x ^{2} - 24 x + 25 ) ( x + 5 )}{x - 5})

If

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 3 - lim (\frac{( x ^{2} - 24 x + 25 ) ( x + 5 )}{x - 5}) =

Does not exist

x \to 3 + lim (\frac{( x ^{2} - 24 x + 25 ) ( x + 5 )}{x - 5}) =

Does not exist

= Does not exist

Popular Examples

limit as x approaches 7+of (x-10)/(x-7)

x \to 7 + lim (\frac{x - 10}{x - 7})

integral of (10)/(1-cos(5x))

\int \frac{10}{1 - cos ( 5 x )} d x

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

derivative of (2x/(-8x-1))

\frac{d}{d x} (\frac{2 x}{- 8 x - 1})

y^'-2/t y=t^2e^t

y^{^{'}} - \frac{2}{t} y = t^{2} e^{t}

Frequently Asked Questions (FAQ)

What is the limit as x approaches 3 of ((x^2-24x+25)(sqrt(x)+5))/(sqrt(x-5)) ?
The limit as x approaches 3 of ((x^2-24x+25)(sqrt(x)+5))/(sqrt(x-5)) is Does not exist