Question

Use algebra to evaluate the limit of lim h->0 (2-h)^3-8/h.

Is the answer -12

Answer 1

Is 3 - 8/h all an exponent of 2-h, or are you taking the difference of two terms, (2-h)^3 and 8/h? You should use parentheses to clarify this.

If 8/h is a separate term, -12 is not the answer. The limit of 8/h as h-> 0 is -infinity.