Question 1034446
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.