Question

the limit of f(x) as x approaches 3 from the right equals 2 but from the left it does not exist. What function would fit this criteria?

Answer 1

the cheapest trick would be to make a step function

Answer 2

f(x)=3 for x>=2

Answer 3

^ yep. basically a jump function doesn't have a conjoined left and right limit. so if it has a right limit but not a left... it's a step or jump function.

Answer 4

like that. the function jumps

Answer 5

but then the limit form the left would exist, so that doesn't quite fit the criteria

Answer 6

it would have to be just