The infinite series fx-x-x3-3-x5-5-x7-7- converges to

Sin x=x x^3/3!+x^5/5! x^7/7!+....+∞ nbsp; (Standard Result) ...

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

Arithmetic Mean

The infinite ...

Question

The infinite series $f (x) = x - \frac{x^{3}}{3!} + \frac{x^{5}}{5!} - \frac{x^{7}}{7!} + . . . . + \infty$ converges to

c o s (x)

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

s i n (x)

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

s i n h (x)

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

e^{x}

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

Open in App

Solution

Suggest Corrections

Similar questions

\frac{x^{3}}{3!} + \frac{x^{5}}{5!} + \frac{x^{7}}{7!} + . . . . . . .

\frac{x^{3}}{⌊ 3} + \frac{x^{5}}{⌊ 5} + \frac{x^{7}}{⌊ 7} + . . . .

\frac{π}{2}

f (x) = x - \frac{x^{3}}{3!} + \frac{x^{5}}{5!} - \frac{x^{7}}{7!} + . . . . .

1 + x + \frac{x^{2}}{2!} + \frac{x^{3}}{3!} + \frac{x^{4}}{4!} + \frac{x^{5}}{5!} + . . .

f (x) = x + \frac{x^{3}}{3!} + \frac{x^{5}}{5!} + . .

Join BYJU'S Learning Program