If 0 a , b –1 a + tan –1 b = 4 , then the value of (a+b)- ( a^ 2 +b^ 2 2 )+ ( a^ 3 +b^ 3…
Mathematics · JEE Main · NTA Exams — Progression and Series
If 0 < a, b < 1, and tan–1a + tan–1b \(=\frac{\pi}{4},\)then the value of \((a+b)-\left(\frac{a^{2}+b^{2}}{2}\right)+\left(\frac{a^{3}+b^{3}}{3}\right)-\left(\frac{a^{4}+b^{4}}{4}\right)+\ldots \text { is }\)
- e
- e2 – 1
- loge2
Answer
(C) log e 2
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