Consider the equation on the interval

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Consider the equation

e^{x}=x+3

on the interval

[1,2]

. Determine whether the equation has at least one real solution in this interval, and if it does, state a subinterval of length

0.5

that must contain a solution.