What is the limit as x approaches 0+of 2+x^9ln(x) ?

The limit as x approaches 0+of 2+x^9ln(x) is 2

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limit as x approaches 0+of 2+x^9ln(x)

x \to 0 + lim (2 + x^{9} ln (x))

2

Solution steps

x \to 0 + lim (2 + x^{9} 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 (2) + x \to 0 + lim (x^{9} ln (x))

x \to 0 + lim (2) = 2

x \to 0 + lim (x^{9} ln (x)) = 0

= 2 + 0

Simplify

= 2

What is the limit as x approaches 0+of 2+x^9ln(x) ?
The limit as x approaches 0+of 2+x^9ln(x) is 2