Answer (Detailed Solution Below)

Option 4 :
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Detailed Solution

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Concept:

Partial Fraction:

Factors in the denominator

Corresponding Partial Fraction

(x - a)

(x – b)2

(x - a) (x – b)

(x – c)3

(x – a) (x2 – a)

(ax2 + bx + c)

Calculation:

Here we have to find the value of 

Let 

⇒ 1 = A (x + 2) + B x --------(1)

By putting x = 0 on both the sides of (1) we get A = 1/2

By putting x = - 2 on both the sides of (1) we get B = - 1/2

As we know that   where C is a constant

where C is a constant

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