What is the limit as x approaches e^2 of xln(x) ?

The limit as x approaches e^2 of xln(x) is 2e^2

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limit as x approaches e^2 of xln(x)

x \to e^{2} lim (x ln (x))

2 e^{2}

Decimal Notation

14.77811 \dots

Solution steps

x \to e^{2} lim (x ln (x))

Plug in the value

x = e^{2}

= e^{2} ln (e^{2})

Simplify

ln (e^{2}) : 2

= 2 e^{2}

h \to 0 lim (\frac{3}{h ^{2} + 2})

x \to 0 lim (e^{\frac{l n ( x )}{x}})

x \to \frac{π}{2} lim (- tan (x))

x \to 0 lim (\frac{1}{3 ^{\frac{1}{x}} + 1})

x \to 1 lim (5 - x^{2})

What is the limit as x approaches e^2 of xln(x) ?
The limit as x approaches e^2 of xln(x) is 2e^2