Let {H}_{{n}}=1+\frac{1}{2}+\frac{1}{3}+\......+{1}/{{n}} and {T}_{{n}}={1}/{({n}+1) {H}_{{n}} {H}_{{n}+1}}, then the value of ({T}_{1}+{T}_{2}+{T}_{3}+\.......+\infty) is:

JEE Advanced 2021 Full Test 1 Paper 2

SECTION – C (Numerical Answer Type)
This section contains 06 questions. The answer to each question is a NUMERICAL VALUE. For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to the SECOND DECIMAL PLACE; e.g. XXXXX. XX).

Question : 52 of 54

Marks: +1, -0

Let Hn=1+

+......+

and Tn=

(n+1)HnHn+1

, then the value of (T1+T2+T3+.......+∞) is:

Your Answer:

Validate

Go to Question:

Prev Question

Next Question