Question

Find the limit of the function algebraically. limit as x approaches zero of quantity negative six plus x divided by x to the fourth power.

Answer 1

The limit of the function is as x approaches zero is infinity

How to determine the limit?

The function is given as:

$f(x) = \frac{x + 6}{x^4}$

As x approaches 0, we have:

$\lim_{x \to 0} \frac{0 + 6}{0^4}$

Evaluate the exponent

$\lim_{x \to 0} \frac{0 + 6}{0}$

Evaluate the sum

$\lim_{x \to 0} \frac{6}{0}$

Evaluate the quotient

$\lim_{x \to 0} \infty$

Hence, the limit of the function is as x approaches zero is infinity

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