finding the limit?

Question

f(x)=x^2+6, x>2
f(x)=2x-3, x<2

lim f(x)
x->2

Answer 1

f(2)= 4+6 = 10

f(2) = 4 - 3 = 1

there's no definite limit as the left and right do not correspond. but if u insist, you can say that the LHS limit = 10 while the RHS limit = 1

Answer 2

limit approaching from the right =10

limit approaching from the left 1

As they are different the limit for x ->2 doesn´t exsist