Using-Taylor-s-theorem-prove-that-x-x-3-6-lt-sin-x-lt-x-x-3-6-x-5-120-for-x-gt-0-

Question Number 171136 by pablo1234523 last updated on 08/Jun/22

Using {Taylor}^{'} s theorem, prove that

x - \frac{x^{3}}{6} < \sin x < x - \frac{x^{3}}{6} + \frac{x^{5}}{120} for x > 0

Commented by pablo1234523 last updated on 08/Jun/22

Commented by pablo1234523 last updated on 08/Jun/22

↑ example

Commented by pablo1234523 last updated on 08/Jun/22

Commented by pablo1234523 last updated on 08/Jun/22

θ x > 0

what does it imply about \cos (θ x) ?