What is the value of 2x^4 / x^3 when x = 0?

Question

What is the value of 2x^4 / x^3 when x = 0?

Question #152261. Asked by Lottie1001.
Last updated Oct 26 2025.
Originally posted Oct 23 2025 5:06 PM.

SixShutouts66

Answer has 4 votes

Currently Best Answer

SixShutouts66

10 year member
19 replies avatar

Answer has 4 votes.

Currently voted the best answer.

I think a more correct answer is that the limit of (2x^4/x^3) approaches 0 as x approaches 0, but the actual expression is undefined since it involves division by zero. That is, the response above divided x^4 by x^3 or 0/0.

Oct 23 2025, 9:50 PM

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Answer 1

TriviaFan22

Answer has 0 votes

TriviaFan22

14 year member
194 replies

Answer has 0 votes.

First you have to simplify your expression. x^4 / x^3 = x, so the expression is equivalent to 2x. The value of 2x when x = 0 is just 0. (2 * 0 = 0)

2x^4 / x^3 = 2(x^4 / x^3) = 2(x)
2(0) = 0

Oct 23 2025, 9:31 PM

Answer 2

gtho4

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gtho4

Moderator
26 year member
2429 replies avatar

Answer has 0 votes.

Link for above:

link

https://en.wikipedia.org/wiki/Division_by_zero

Oct 25 2025, 12:15 AM

Answer 3

This is a nice example of a discontinuous function, meaning it does not exist for all possible values of x. When x has any value other than x=0, the expression is equivalent to 2x. A graph would look like a straight line, gradient 2, passing through the origin - but with a hole at the exact point where it should go through the origin.

https://en.wikipedia.org/wiki/Continuous_function#Examples_of_discontinuous_functions

What is the value of 2x^4 / x^3 when x = 0?

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