Evaluate the following limits of polynomial expressions

MATHEMATICS · Multi-part · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Evaluate the following limits of polynomial expressions, showing each step clearly. (i)

\displaystyle \lim_{x\to4}\bigl(x^{3}-6x+7\bigr)

(ii)

\displaystyle \lim_{x\to-1}\bigl(2x^{4}+5x^{2}-1\bigr)

(iii)

\displaystyle \lim_{x\to0}\bigl(x^{5}+3x^{2}+7\bigr)