LimitsHard

Question

If (1 + ax + bx2)2/x = e3, then possible values of a and b is/are :

Options

A.a = 3, b = 0
B.a = 3/2, b = 1/2
C.a = 3/2, b = 3/2
D.a = 3/2, b = 0

Solution

(1 + ax + bc2)2/x = e3    (1 form)
= e3
⇒  = 3
⇒  2(a + bx) = 3
⇒  2a = 3
⇒  a = 3/2, b ∈ R

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