Discuss the continuity of the function f- defined by fx - 1 -1-2 tan x for real x-

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

Inequalities of Integrals

Discuss the c...

Question

Discuss the continuity of the function f, defined by $f (x) = \frac{1}{1 + 2^{tan x}}$ for real x.

Open in App

Solution

Suggest Corrections

Similar questions

f

f (x) = {\begin{matrix} x + 2, i f x \leq 1 x - 2, i f x > 1 \end{matrix}

f

f (x) = \frac{1}{x}, x \neq 0

f

x = \frac{π}{4}

f

f (x) = \frac{1 - \sqrt{2} sin x}{π - 4 x}

x \neq \frac{π}{4}

= \frac{1}{4}

x \neq \frac{π}{4}

f,

f

f (x) = ⎧ ⎨ ⎩ \begin{matrix} - 2, i f x \leq - 1 2 x, i f - 1 \leq x \leq 1 2, i f x > 1 \end{matrix}

f (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{x - 1}{\sqrt{x} - 1} & i f & x > 1 5 - 3 x & i f & - 2 \leq x \leq 1, \frac{6}{x - 10} & i f & x < - 2 \end{matrix}

Join BYJU'S Learning Program