Question

Limits question from calculus. Problem in comments

Answer 1

you plug in 2 into the first part of the piece wise function, and find what it will equal

Answer 2

Okay so I get ln2 and then what do I do?

Answer 3

this is going to be lim[x->2 ^-]

then find what it will be from the right side.

Answer 4

plug in 2 into the second part.

Answer 5

the limit is not even from both sides,
it is ln2 from the left, and 4ln2 from the right

what does that tell you ?

Answer 6

the limit doesn't exist