Limits question

[honest pike]

i tried many times to solve it but its very complicated

[night ore]

https://www.symbolab.com/solver/limit-calculator

[tidal shoal]

U have to take the limit as x goes to 2 plus

And the limit as x goes to 2 minus

I’m order to get rid of the absolute value

W8

Just plug in 2

Sin(inf) does not exist

But

Since has values between -1 and 1

It rlly doesn’t matter what value will give sin(inf)

Because u multiply by 0

And it will give u 0