TS EAMCET · Maths · Basic of Mathematics
If \(\frac{d}{d x}\left(\frac{2 x+1}{(x+1)^2(x-2)}\right)=\frac{\mathrm{A}}{(x-2)^2}+\frac{\mathrm{B}}{(x+2)^3}+\frac{\mathrm{C}}{(x+1)^2}\) then \(\mathrm{A}+\mathrm{B}+\mathrm{C}=\)
- A \(\frac{-2}{3}\)
- B \(\frac{2}{3}\)
- C \(\frac{1}{3}\)
- D \(\frac{-1}{3}\)
Answer & Solution
Correct Answer
(A) \(\frac{-2}{3}\)
Step-by-step Solution
Detailed explanation
Let \(y=\frac{2 x+1}{(x+1)^2(x-2)}\) ...(i)…
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