if f(x)=4x-2x+1+1/1- cos x, for x not equal to 0 is continuous at x = 0, find f(0) - Maths -

Question

if f(x)=4x-2x+1+1/1- cos x,
for x not equal to 0 is continuous at x = 0, find f(0)

Lovina Kansal · Accepted Answer

Dear student
limx→04x-2x+1+11-cosxApply L'Hopital's Rule , we getlimx→04xln4-2x+1ln21+sinx=40ln(4)-2ln(2)1+sin0=ln(4)-2ln(2)1=ln4-ln41=0
Regards

if f(x)=4x-2x+1+1/1- cos x, for x not equal to 0 is continuous at x = 0, find f(0).