What is the limit as x approaches-1 of (6+4x)^{2x} ?

The limit as x approaches-1 of (6+4x)^{2x} is 1/4

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limit as x approaches-1 of (6+4x)^{2x}

x \to - 1 lim ((6 + 4 x)^{2 x})

\frac{1}{4}

Decimal

0.25

Solution steps

x \to - 1 lim ((6 + 4 x)^{2 x})

Plug in the value

x = - 1

= (6 + 4 (- 1))^{2 (- 1)}

Simplify

(6 + 4 (- 1))^{2 (- 1)} : \frac{1}{4}

= \frac{1}{4}

t an g e n t y = \frac{x}{16 x + x ^{2}}

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x \to 3 - lim (\frac{2}{x + 3})

\frac{d}{d x} (e^{s i n (2 x)})

What is the limit as x approaches-1 of (6+4x)^{2x} ?
The limit as x approaches-1 of (6+4x)^{2x} is 1/4