Question

Could someone help me with limits?

Answer 1

Sure, what do you need help with?

Answer 2

f(x) { -x^2 +6x -6, x>= 3 and x -1, x < 3

Answer 3

And you're finding the limit as x approaches 3?

Answer 4

Plug in 3 for both the left and right functions. If you get the same answer, the limit exists (and is that answer). Otherwise the limit does not exist.

Answer 5

SORRY! I forgot to enter that the the limit as x approaches 4 from the left @DDCamp

Answer 6

\[\lim_{x \rightarrow 4^{-}} f(X) \]

Answer 7

\[\lim_{x \rightarrow 3-} f(x) = \lim_{x \rightarrow 3} x - 1 = 3 - 1 = 2\]

Answer 8

so the answer would be 3 when approaching 4 from the left?

Answer 9

and in \[\lim_{x \rightarrow 3^{+}} f(X) \] it would be 3?