The limit of the function is as x approaches zero is infinity
How to determine the limit?
The function is given as:
[tex]f(x) = \frac{x + 6}{x^4}[/tex]
As x approaches 0, we have:
[tex]\lim_{x \to 0} \frac{0 + 6}{0^4}[/tex]
Evaluate the exponent
[tex]\lim_{x \to 0} \frac{0 + 6}{0}[/tex]
Evaluate the sum
[tex]\lim_{x \to 0} \frac{6}{0}[/tex]
Evaluate the quotient
[tex]\lim_{x \to 0} \infty[/tex]
Hence, the limit of the function is as x approaches zero is infinity
Read more about function limits at:
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