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What value must be chosen for in order to make a function continuous at a given point?

If x<-4, f(x) = {[-2(x^3) - 6(x^2) +14x+24] / (x+4)}

if x>=-4, f(x) = 5(x^2) +5x+a

What value must be chosen for a in order to make this function continuous at -4?
Please note the value of a does not equal to 66.

Solution Preview

lim f(x)= lim {[-2(x^3) - 6(x^2) +14x+24] / (x+4)}
x--> -4(-) x--> -4(-)

To find this limit, we must first decompose: -2(x^3) - 6(x^2) +14x+24 and that ...

Solution Summary

The value that must be chosen for 'a' in order to make a function continuous at a given point is found using limits. The solution is detailed and well presented.

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