SOLUTION: 6. Let f =
{
| 4 − x^2 if x ≤ 2
| x^3 − 2x^2 + a, if x > 2
{
Find the value of a that will make f continuous on (−∞, ∞).
So here is w
Algebra ->
Functions
-> SOLUTION: 6. Let f =
{
| 4 − x^2 if x ≤ 2
| x^3 − 2x^2 + a, if x > 2
{
Find the value of a that will make f continuous on (−∞, ∞).
So here is w
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Question 1034446: 6. Let f =
{
| 4 − x^2 if x ≤ 2
| x^3 − 2x^2 + a, if x > 2
{
Find the value of a that will make f continuous on (−∞, ∞).
So here is what I did:
lim 4-(-2)^2 = 0
x-> -2
lim 4-(2)^2 = 0
x-> 2
lim 2^3 - 2(2)^2 + a = a?
x-> 2+
Does this make sense? I'm not sure how to do this Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Let f = {| 4 − x^2 if x ≤ 2
| x^3 − 2x^2 + a, if x > 2
Find the value of a that will make f continuous on (−∞, ∞).
So here is what I did:
lim 4-(-2)^2 = 0
x-> -2
lim 4-(2)^2 = 0
x-> 2
lim 2^3 - 2(2)^2 + a = a?
x-> 2+
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Ans: a = 0
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Cheers,
Stan H.
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