Evaluate the following limits

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

Problem

Evaluate the following limits. Show all necessary steps and clearly indicate the final answers. (i) lim⁡x→1(ex2+3x−5)\displaystyle \lim_{x \to 1} \bigl(e^{x^{2}}+3x-5\bigr) (ii) lim⁡x→0(ln⁡(1+x)+2x)\displaystyle \lim_{x \to 0} \bigl(\ln(1+x)+2x\bigr) (iii) lim⁡x→−2(x4+4x3+6x2+4x+1)\displaystyle \lim_{x \to -2} \bigl(x^{4}+4x^{3}+6x^{2}+4x+1\bigr)

Related theory

Browse the problem library