Question

Limit help

Answer 1

\[\lim_{x \rightarrow c^-} f(x) = \lim_{x \rightarrow c^+} f(x)\]

\[\lim_{x \rightarrow c} f(x) = f(c)\]

What does these two mean?
a.) f(x) is continuous at c
b.) f(x) is differentiable at c
c.) Limit of f(x) exists at x= c

Answer 2

it means that Limit exists and is equal the value of the function at c.

Answer 3

f(x) is continuous at c --> \(\lim_{x \rightarrow c^-} f(x) = \lim_{x \rightarrow c^+} f(x)\)
Limit of f(x) exists at x= c-->\(\lim_{x \rightarrow c} f(x) = f(c)\)
directly vomes from definition..

Answer 4

What you have is exactly what I put but the teacher said they were wrong

Answer 5

let me look up internet...

Answer 6

O.o
for \(\lim_{x \rightarrow c^-} f(x) = \lim_{x \rightarrow c^+} f(x)\)
its b.) f(x) is differentiable at c

Answer 7

https://docs.google.com/viewer?a=v&q=cache:xx8X-Y30NiAJ:www.math.wfu.edu/tutorials/Math111/ContinuityandDifferentiability.pdf+differentiability&hl=en&gl=in&pid=bl&srcid=ADGEEShvz1moiVWVOcn7Xpyiwml8olFIgdopRe5m_FtyOIPHdb5iuMg7bAqgNF_i6U9oqINRniRKHtn_-uwskl7R4zDjPlagwhl07hh7Jwmz6CUgWueH6xusyHdDXjSThLZU0cWLECqR&sig=AHIEtbRw70AS6Drx6XuWB-ynylGIWsIUKA

Answer 8

Alright thank you. I see my mistake

Answer 9

i see mine to....
welcome ^_^

Answer 10

"every1 makes mistakes" cx