What is the limit as x approaches 1 of e^{6x^2-6x} ?

The limit as x approaches 1 of e^{6x^2-6x} is 1

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limit as x approaches 1 of e^{6x^2-6x}

x \to 1 lim (e^{6 x^{2} - 6 x})

1

Solution steps

x \to 1 lim (e^{6 x^{2} - 6 x})

Plug in the value

x = 1

= e^{6 \cdot 1^{2} - 6 \cdot 1}

Simplify

= 1

\frac{120 x ^{2}}{x ^{2} + 4}

\int \frac{6 x ^{2}}{( 36 + x ^{2} ) ^{2}} d x

y^{^{''}} - y = 9 e^{5 t} + 6 t e^{5 t} + 3 t^{2} e^{5 t}

What is the limit as x approaches 1 of e^{6x^2-6x} ?
The limit as x approaches 1 of e^{6x^2-6x} is 1