What is the limit as x approaches 0 of (x^4)/x ?

The limit as x approaches 0 of (x^4)/x is 0

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limit as x approaches 0 of (x^4)/x

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

0

Solution steps

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

Cancel the common factor:

x

= x \to 0 lim (x^{3})

Plug in the value

x = 0

= 0^{3}

Simplify

= 0

x \to \frac{3}{7} lim (\frac{∣ 3 - 7 x ∣}{21 x ^{2} - 9 x})

x \to - 3 - lim (\frac{2 x}{x + 3})

y = sin^{2} (x), y = sin^{3} (x), [0, π]

n = 0 \sum \infty (x + 1)^{n}

What is the limit as x approaches 0 of (x^4)/x ?
The limit as x approaches 0 of (x^4)/x is 0