CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The value of f(0), so that the function f(x)=1cos(1cosx)x4 is continuous everywhere is


A
loader
B
loader
C
loader
D
loader

Solution

The correct option is A
f(0)=RHL=limx0+f(x)=limh0f(h)=limh01cos(1cosh)h4×1+cos(1cosh)1+cos(1cosh)=limh0sin2(1cosh)h4.(1+cos(1cosh)).limh0(1coshh2)2×limh011+cos(1cosh)=(1)2×14×12=18

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image