Continuity of a function

• $f\left(x\right)+g\left(x\right)$

• $f\left(x\right)-g\left(x\right)$

• $f\left(x\right).g\left(x\right)$

• $\frac{g\left(x\right)}{f\left(x\right)}$

The relation between 'a' and 'b' for which the function is continuous at x = 3

• $a=b$

• $2a-2b=3$

• $3a-3b=2$

• $3b-3a=2$

Find the value of 'k' so that the function f is continuous at the indicated point

• $-\frac{\pi}{2}$

• $-\frac{2}{\pi}$

• $-\frac{1}{\pi}$

• none of these

 $y=\left|x-1\right|$  is a continuous function

• TRUE

• FALSE

The number of points at which the function $f\left(x\right)=\frac{1}{\log_e\left|x\right|}$   is discontinuous are/is

(a)  

The function $f\left(x\right)=\left[x\right],\ where\ \left[x\right]\ is\ greatest\ integer\ function$  

is continuous at 

• 4

• - 1

• 0

• none of these

The function is continuous at x = 0, then value of k is

• 2

• 3

• 1

• 4