What is the limit as x approaches 0 of (0x^4+e^{0x})/(x^4) ?

The limit as x approaches 0 of (0x^4+e^{0x})/(x^4) is infinity

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limit as x approaches 0 of (0x^4+e^{0x})/(x^4)

x \to 0 lim (\frac{0 x ^{4} + e ^{0 x}}{x ^{4}})

\infty

Solution steps

x \to 0 lim (\frac{0 \cdot x ^{4} + e ^{0 \cdot x}}{x ^{4}})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{0 \cdot x ^{4} + e ^{0 \cdot x}}{x ^{4}}) = \infty

x \to 0 + lim (\frac{0 \cdot x ^{4} + e ^{0 \cdot x}}{x ^{4}}) = \infty

= \infty

\frac{d}{d x} (x ln^{2} (x))

(y + \frac{3}{y}) (y^{2} - 5)

\frac{d}{d x} (sec^{n - 2} (x))

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

(x^{4} + 2)^{2} (x^{5} + 4)^{4}

What is the limit as x approaches 0 of (0x^4+e^{0x})/(x^4) ?
The limit as x approaches 0 of (0x^4+e^{0x})/(x^4) is infinity