What is the limit as x approaches 1 of e^{2x}-x^2 ?

The limit as x approaches 1 of e^{2x}-x^2 is e^2-1

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limit as x approaches 1 of e^{2x}-x^2

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

e^{2} - 1

Decimal

6.38905 \dots

Solution steps

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

Plug in the value

x = 1

= e^{2 \cdot 1} - 1^{2}

Simplify

= e^{2} - 1

x \to 0 + lim (\frac{ln ( 1 + 10 x )}{x})

n \to 0 lim ((- \frac{3}{5})^{n})

h \to 0 lim (\frac{sin ( 2 x + h ) - sin ( 2 x )}{h})

x \to 0 + lim (x^{\frac{6}{1 + 2 l n ( x )}})

x \to 0 lim (1 x^{2})

What is the limit as x approaches 1 of e^{2x}-x^2 ?
The limit as x approaches 1 of e^{2x}-x^2 is e^2-1