Question

what is the limit of f(X)=4 as x approaches pi

Answer 1

f(x) = 4 is a constant function

Answer 2

so this means that no matter what x value you plug in, you're always going to get the same output: 4

Answer 3

therefore the limiting value is 4

Answer 4

ohhh ok... but what if it was asking for the limit of g(x)=x as x approaches pi what would that be

Answer 5

this function is continuous at x = pi (since it's continuous everywhere), so to find the limiting value, just evaluate g(pi)

Answer 6

but g(pi)= pi

Answer 7

so the limiting value is pi

Answer 8

ohh ok thanks very much....

Answer 9

you're welcome