What is the limit as x approaches 4-of (x+4)/(2^x-4) ?

The limit as x approaches 4-of (x+4)/(2^x-4) is 2/3

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limit as x approaches 4-of (x+4)/(2^x-4)

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

\frac{2}{3}

Decimal

0.66666 \dots

Solution steps

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

Plug in the value

x = 4

= \frac{4 + 4}{2 ^{4} - 4}

Simplify

\frac{4 + 4}{2 ^{4} - 4} : \frac{2}{3}

= \frac{2}{3}

4 y^{^{''}} - y = 0, y (- 2) = 1, y^{^{'}} (- 2) = - 1

y^{^{''}} - y^{^{'}} - 6 y = e^{3 x}

l a pl a ce t r an s f or m 1 - e^{- 5 t}

d er i v a t i v e 4 x^{2} e^{x}

\int \frac{1}{x + x x} d x

What is the limit as x approaches 4-of (x+4)/(2^x-4) ?
The limit as x approaches 4-of (x+4)/(2^x-4) is 2/3