## liizzyliizz 4 years ago Forgot how to do continuity :( Help lol "Given the piecewise function f defined as f(x)= (will draw inside) for what value of a is f(x) continuous at x=1

1. liizzyliizz

|dw:1328661866669:dw|

2. y2o2

Limit or right side must be equal to limit of left side as x tends to 1 [if the function is Cont.]

3. y2o2

$\lim_{x \rightarrow 1^-} (4ax^3+7x) = \lim_{x \rightarrow 1^+}(a+2)x^4 -4 =$

4. anonymous

$f(x _{0})$ is defined $\lim_{x \rightarrow x _{0}}f(x)$ exist (L+ = L-) and $f(x _{0})=\lim_{x \rightarrow x _{0}}f(x)$

5. liizzyliizz

I understood what y2o2 is saying, but what abermejo said (Although it seems to make sense) I am not sure what he wanted to do with that information.

6. anonymous

both information are complementary, the resolution is of y202, sorry for my english Im not american :D

7. liizzyliizz

It's perfectly ok :D thanks for helping I was just a bit confused