[" all points except at "x=0],[" II.The function "f(x)=sin|x|" is continuous for all "],[x in R" ."]

Consider the following statements: I. The function f(x)=[x] . Where [.] is the greatest integer function defined on R. is continuous at all points except at x = 0. II. The function f(x)=sin|x| is continuous for all x inR . Which of the above statements is/are correct?

Consider the following statements: 1. The function f(x)=[x] where [.] is the greatest integer function defined on R, is continuous at all points except at x=0. 2. The function f(x)=sin|x| is continuous for all x""inR . Which of the above statements is/are correct?

Prove that f(x)=sqrt(|x|-x) is continuous for all x>=0

Prove that f(x)=sqrt(|x|-x) is continuous for all x>=0

Show that f(x)=sin x is continuous for all values of x .

Prove that f(x)=sqrt(|x|-x) is continuous for all xgeq0 .

Prove that f(x)=sqrt(|x|-x) is continuous for all xgeq0.

If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(0) .

If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(0) .

Consider the following statements: I. The function f(x)=root3(x) is continuous at all x except at x = 0 II. The function f(x)=[x] is continuous at x = 2.99, where [.] is the bracket function. Which of the above statements is/are correct?