Let the rth term- tr of a series is given by t r - r 1- r 2 - r 4- Then lim n- r-1 n t r is

The correct option is B 1 2 Given, t _ r = r 1+ r ^ 2 + r ^ 4 = 1 2 . 2r ( r ^ 2 +1 ) #160;^ 2 r ^ 2 = 1 2 ( 1 r(r 1) 1 r(r+1) ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Formula for Sum of n Terms of an AP

Let the rth t...

Question

Let the rth term, $t_{r}$ of a series is given by $t_{r} = \frac{r}{1 + r^{2} + r^{4}}$ . Then ${lim}_{n \to \infty} \sum_{r = 1}^{n} t_{r}$ is

\frac{1}{4}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{1}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

r t h

t_{r}

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

lim n \to \infty n \sum r = 1 t_{r}

r^{t h}

T_{r}

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

{lim}_{n \to \infty} n \sum r = 1 T_{r}

r^{th}

T_{r} = \frac{r}{1 - 3 r^{2} + r^{4}} .

- 2 \infty \sum r = 1 T_{r}

r^{t h}

T_{r} = \frac{r}{1 - 3 r^{2} + r^{4}} .

lim n \to \infty \sum_{r = 1}^{n} T_{r}

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

{lim}_{n \to \infty} \sum_{r = 1}^{n} t_{r}

Join BYJU'S Learning Program