JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

The range of the function

f\left( x \right) = 1 + \sin x + {\sin ^3}x + {\sin ^5}x + \ldots

when

x \in \left( { - \pi /2,\pi /2} \right)

, is

View answer and explanation

Correct option: B

R

Option B (R) is correct because the function can be simplified to 1 + tan(x)sec(x), which has a range of all real numbers over the given interval.

More Questions from FUNCTIONS

Practice All Chapter MCQs →

f:(-\infty, 2] \longrightarrow(-\infty, 4]

f(x)=x(4-x)

f^{-1}(x)

g(f(x))=|\sin x|

f(g(x))=(\sin \sqrt{x})^2

f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

f\left( x \right) = x - \left[ x \right]

{f^{ - 1}}\left( x \right)

f: R \rightarrow R

f(x)=x^4

f(x)=(x+1)^2-1(x \geq-1)

S=\left\{x: f(x)=f^{-1}(x)\right\}