What is the limit as x approaches 4 of 1/(sqrt(x)-2) ?

The limit as x approaches 4 of 1/(sqrt(x)-2) is diverges

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limit as x approaches 4 of 1/(sqrt(x)-2)

x \to 4 lim (\frac{1}{x - 2})

diverges

Solution steps

x \to 4 lim (\frac{1}{x - 2})

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

then the limit does not exist

x \to 4 + lim (\frac{1}{x - 2}) = \infty

x \to 4 - lim (\frac{1}{x - 2}) = - \infty

= diverges

f (x) = \frac{4}{x} a = \frac{1}{16}

cos (x y)

\frac{d}{d x} (\frac{2 a ^{3}}{x})

\frac{1}{( s + 2 ) ^{5}}

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

What is the limit as x approaches 4 of 1/(sqrt(x)-2) ?
The limit as x approaches 4 of 1/(sqrt(x)-2) is diverges