What is the limit as x approaches 0 of (x7^x)/(7x-1) ?

The limit as x approaches 0 of (x7^x)/(7x-1) is 0

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limit as x approaches 0 of (x7^x)/(7x-1)

x \to 0 lim (\frac{x 7 ^{x}}{7 x - 1})

0

Solution steps

x \to 0 lim (\frac{x \cdot 7 ^{x}}{7 x - 1})

Plug in the value

x = 0

= \frac{0 \cdot 7 ^{0}}{7 \cdot 0 - 1}

Simplify

\frac{0 \cdot 7 ^{0}}{7 \cdot 0 - 1} : 0

= 0

y = x^{2}, y = 1

\int \frac{7 x ^{2} + 3 x}{x ^{3} + 4 x ^{2} + 3 x + 12} d x

\frac{d}{d x} (\frac{( x ^{2} + x ) ( x ^{2} - x + 1 )}{x ^{4}})

n \to \infty lim (- 2^{n})

n \to \infty lim (n - 3)

What is the limit as x approaches 0 of (x7^x)/(7x-1) ?
The limit as x approaches 0 of (x7^x)/(7x-1) is 0