Problem
Example equation: g(h(x)) lim x -> -1
When the h(x) for the lim of x -> -1 doesn’t exist people wonder what to do but there’s a way to solve these kind of problems
Look at the limit from left and right sides
lim x -> -1 & lim x -> -1
Now solve the problem with using those limit definitions
Solution
lim g(h(x)) = lim g(h(x)) = 3 x -> -1 h(x) -> -2
lim g(h(x)) = lim g(h(x)) = 3 x -> -1 h(x) -> -3
You also have to check where the limit is approaching from greater or smaller numbers as that also indicates the + and - sign on the numbers