Question

Valuate the limit, if it exists. (If an answer does not exist, enter DNE.)

​lim h→0​ h36+h​ /−6
​

Answer 1

The limit as h approaches 0 of h^3 + h divided by -6 is 0. The value of h becomes negligibly small, leaving the result as 0.

Step-by-step explanation:

The student is asking to evaluate the limit of a function as the variable approaches a certain value. Specifically, we're asked to find the lim h→0 h^3 + h / -6. This is a problem typically found in calculus, a branch of college-level mathematics.

To evaluate this limit, we simply plug in the value of h as it approaches 0. As h gets closer to 0, the term h^3 becomes negligibly small, as does the term h. Thus, we are left with:

= 0 / -6

The limit as h approaches 0 of h^3 + h divided by -6 is 0.