Consider the following function :
1. `f(x)=e^(x),"where "xgt0`
2. `g(x)=|x-3|`
Which of the above functions is/are continuous ?

Consider the following statement 1. f(x)=e^(x) , where xgt0 2. g(x)=|x-3| which of the above function is/are continuous?

A function f RrarrR is defined as f(x)=x^(2) for xge0 and f(x)=-x for xlt0 consider the following statements in respect to the above function 1. the function is continuous at x = 0. 2. the function is differentiable at x = 0 which of the above function is/are continuous?

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?

Let f(x) be a function defined in 1lexleoo by f(x)={{:(2-x" for "1lexle2),(3x-x^(2)" for "xgt2):} Consider the following statements : 1. f'(2+0) does not exist. 2. f'(2-0) does not exist. Which of the above statements is/are correct?

Consider the fucntion f(x)=((1)/(x))^(2x^2) , where xgt0 . At what value of x does the function attain maximum value ?

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 function f(x)=e^(x) and g(x)=sin^(-1)x, then which of the following is/are necessarily true.

Consider the following statements: I. The function f(x)=|x| is not differentiable at x = 1 II. The function f(x)=e^(x) is differentiable at x = 0 Which of the above statements is/are correct?

Consider the following statements: 1. The function f(x)=|x| is not differentiable at x=1. 2. The function f(x)=e^(x) is not differentiable at x=0. Which of the above statements is/are correct ?