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Hello Guys ,can u help me I don't know how prove this problemeShow that:::::1+2lnx

Answer»

\(\because\) x2 & exponential functions both are increasing functions

Also

ex2 \(\leq\) ex2            \(\forall\) x \(\in\) (0, \(\infty\))

⇒ ln(ex2\(\leq\) ln ex2 (\(\because \) ln x is strictly increasing function)

⇒ ln e + ln x2 \(\leq\) x2 ln e (\(\because\) ln (AB) = ln A + ln B)

⇒ 1 + 2 ln x \(\leq\) x2 (\(\because \) ln e = 1)



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