What is the limit as x approaches 0 of (x^2+5)/(3^x) ?

The limit as x approaches 0 of (x^2+5)/(3^x) is 5

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limit as x approaches 0 of (x^2+5)/(3^x)

x \to 0 lim (\frac{x ^{2} + 5}{3 ^{x}})

5

Solution steps

x \to 0 lim (\frac{x ^{2} + 5}{3 ^{x}})

Plug in the value

x = 0

= \frac{0 ^{2} + 5}{3 ^{0}}

Simplify

= 5

n = 1 \sum \infty (- 1)^{n} 2^{- n}

y = sin (2 x), at x = \frac{π}{4}

\frac{\partial}{\partial x} (sin (x^{2}))

2 x - 5

\frac{d}{d x} (ln (\frac{1}{x x + 1}))

What is the limit as x approaches 0 of (x^2+5)/(3^x) ?
The limit as x approaches 0 of (x^2+5)/(3^x) is 5