Use continuity to evaluate the limit 40 9 40 x Consider the

Last updated: 9/15/2023

Use continuity to evaluate the limit 40 9 40 x Consider the intervals for which the numerator and the denominator are continuous The numerator 40 is contintuous on the interval lim The denominator 40 is continuous and nonzero on the interval The interval for which the quotient is continuous is the intersection of the above intervals 40 Therefore the quotient 40 x Since 9 is in the interval 0 then f is continuous at x 9 Therefore 40 lim 1 9 40 x is continuous on the interval f 9