If the function f x = (e^kx −1 tankx)/(4x^2) , x≠0 16, x=0 is continuous at x = 0, then k = …

Question

If the function f x = (e^kx −1 tankx)/(4x^2) , x≠0 16, x=0 is continuous at x = 0, then k = ….

MARKS Content Team · Accepted Answer

Correct answer: (D) ±8. We have function, fx=(e^kx-1tankx)/(4x^2),x≠0 16,x=0 is continuous at x = 0 ∴limx→0fx=f0 ⇒limx→0(e^kx-1tankx)/(4x^2)=160/0form ⇒limx→0(e^kx-1)/kxtankx/kx×(k^2)/4=16 ⇒(k^2)/4=16⇒k^2=64⇒k=±8

If the function $f (x) = \{\begin{matrix} \frac{(e^{k x} - 1) tan k x}{4 x^{2}}, & x \neq 0 \\ 16, & x = 0 \end{matrix}$ is continuous at x = 0, then k = ….

Solution

Relevant Questions

If the function f x = e kx −1 tankx 4 x 2 , x≠0 16, x=0 is continuous at x = 0, then k = ….

Solution

Relevant Questions

If the function $f (x) = \{\begin{matrix} \frac{(e^{k x} - 1) tan k x}{4 x^{2}}, & x \neq 0 \\ 16, & x = 0 \end{matrix}$ is continuous at x = 0, then k = ….