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Question Number 79010 by jagoll last updated on 22/Jan/20

lim_(x→0)  3x ln(x) ?

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\mathrm{3x}\:\mathrm{ln}\left(\mathrm{x}\right)\:? \\ $$

Answered by jagoll last updated on 22/Jan/20

Commented by jagoll last updated on 22/Jan/20

my answer is correct?

$$\mathrm{my}\:\mathrm{answer}\:\mathrm{is}\:\mathrm{correct}? \\ $$

Commented by mr W last updated on 22/Jan/20

correct.  lim_(x→0)  x^x =1  lim_(x→0)  3xln x=3lim_(x→0) ln (x^x )=3ln 1=0

$${correct}. \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{x}^{{x}} =\mathrm{1} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\mathrm{3}{x}\mathrm{ln}\:{x}=\mathrm{3}\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}ln}\:\left({x}^{{x}} \right)=\mathrm{3ln}\:\mathrm{1}=\mathrm{0} \\ $$

Commented by jagoll last updated on 22/Jan/20

thanks sir

$$\mathrm{thanks}\:\mathrm{sir} \\ $$

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