What is the limit as x approaches 0+of 3+x^8ln(x) ?

The limit as x approaches 0+of 3+x^8ln(x) is 3

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limit as x approaches 0+of 3+x^8ln(x)

x \to 0 + lim (3 + x^{8} ln (x))

3

Solution steps

x \to 0 + lim (3 + x^{8} 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^{8} ln (x))

x \to 0 + lim (3) = 3

x \to 0 + lim (x^{8} ln (x)) = 0

= 3 + 0

Simplify

= 3

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What is the limit as x approaches 0+of 3+x^8ln(x) ?
The limit as x approaches 0+of 3+x^8ln(x) is 3