What is the limit as x approaches 0+of x+1/x ?

The limit as x approaches 0+of x+1/x is infinity

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limit as x approaches 0+of x+1/x

x \to 0 + lim (x + \frac{1}{x})

\infty

Solution steps

x \to 0 + lim (x + \frac{1}{x})

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 + lim (x) + x \to 0 + lim (\frac{1}{x})

x \to 0 + lim (x) = 0

x \to 0 + lim (\frac{1}{x}) = \infty

= 0 + \infty

Apply Infinity Property:

c + \infty = \infty

= \infty

\int \frac{6 x}{1 + x ^{2}} d x

x^{2} + x y - y^{2} = - 4, (2, 4)

(2 x - 1)^{3}

\int 3 + x d x

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

What is the limit as x approaches 0+of x+1/x ?
The limit as x approaches 0+of x+1/x is infinity