If S is the sum|nverse Trigonometric Function |JEE-MAIN 2020

JEE MAIN 2020

05-09-2020 S1

Question

If S is the sum of the first 10 terms of the series
$\tan ^{-1}\left(\frac{1}{3}\right)+\tan ^{-1}\left(\frac{1}{7}\right)+\tan ^{-1}\left(\frac{1}{13}\right)+\tan ^{-1}\left(\frac{1}{21}\right)+\ldots \ldots$
then tan(S) is equal to :

Select the correct option:

$-\frac{6}{5}$

$\frac{5}{11}$

$\frac{10}{11}$

$\frac{5}{6}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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