What is the limit as x approaches 0+of 3+x^5ln(x) ?

The limit as x approaches 0+of 3+x^5ln(x) is 3

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limit as x approaches 0+of 3+x^5ln(x)

x \to 0 + lim (3 + x^{5} ln (x))

3

Solution steps

x \to 0 + lim (3 + x^{5} ln (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 (3) + x \to 0 + lim (x^{5} ln (x))

x \to 0 + lim (3) = 3

x \to 0 + lim (x^{5} ln (x)) = 0

= 3 + 0

Simplify

= 3

\frac{\partial}{\partial y} (x^{3} + y z^{2})

\int \frac{1}{x - 2} d x

\frac{d}{d x} (csc (cot (x)))

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

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

What is the limit as x approaches 0+of 3+x^5ln(x) ?
The limit as x approaches 0+of 3+x^5ln(x) is 3