What is the limit as x approaches-0.01 of (3^x-1)/x ?

The limit as x approaches-0.01 of (3^x-1)/x is 1.09259…

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limit as x approaches-0.01 of (3^x-1)/x

x \to - 0.01 lim (\frac{3 ^{x} - 1}{x})

1.09259 \dots

Solution steps

x \to - 0.01 lim (\frac{3 ^{x} - 1}{x})

Plug in the value

x = - 0.01

= \frac{3 ^{- 0.01} - 1}{- 0.01}

Simplify

\frac{3 ^{- 0.01} - 1}{- 0.01} : 1.09259 \dots

= 1.09259 \dots

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\int \frac{3 x - 2}{3 + 2 x - x ^{2}} d x

What is the limit as x approaches-0.01 of (3^x-1)/x ?
The limit as x approaches-0.01 of (3^x-1)/x is 1.09259…