anamikausman1830 anamikausman1830
  • 01-09-2017
  • Mathematics
contestada

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.

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 13-05-2022

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:

https://brainly.com/question/12212916

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