For the problem below, is it possible to determine?

Question

Given that

lim ... f(x) = B, then lim {3[f(x)]^2 + 4f(x) - 2B^2 - 3B} =
x=>a .................... x=>a

Answer 1

=3B^2+4B-2B^2-3B
=B^2+B

Answer 2

Limit operator is a linear operator, so we can use this property to analyze the above expression.

limit === 3 lim(f(x))^2 + 4 lim(f(x)) - 2B^2 - 3B

(limit of a constant = constant)

= 3B^2 + 4B - 2B^2 - 3B

= B^2 + B

or the limit (x goes to a) == B(B+1)