JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Analyzing +4 | -1

Let the

r

th term,

t_r

of a series is given by

t_r=\frac{r}{1+r^2+r^4}

. The value of

\lim \limits_{{n \rightarrow \infty}} \sum\limits_{{r=1}}^n t_r

View answer and explanation

Correct option: B

\frac{1}{2}

Option B (

\frac{1}{2}

) is correct because the given series telescopes, and the limit of the sum as n approaches infinity is

\frac{1}{2}

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