Describe the interval (s) on which each ...

Describe the interval (s) on which each function is continuous.
`g(x)={:{(sin(1/x), x ne 0),(0, x =0):}`

DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY
FULL MARKS|Exercise ADDITIONAL PROBLEMS|11 Videos
DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY
FULL MARKS|Exercise EXERCISE 9.1|24 Videos
DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION
FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS (Find the derivative of following functions.)|10 Videos
EXAMINATION QUESTION PAPER - JUNE 2019
FULL MARKS|Exercise PART -IV|7 Videos

Similar Questions

Explore conceptually related problems

Describe the interval (s) on which each function is continuous. h(x)={:{(x sin (1/x), x ne 0),(0, x=0):}

Describe the interval (s) on which each function is continuous. f(x)=tan x

Evaluate lim_(x to 0) where f(x)={:{(|x|/x, x ne 0),(0, x=0):}

Examine the continuity of f, where f is defined by f(x)={{:(sin x-cos x," if "x ne 0),(-1," if "x= 0):} .

Discuss the continuity of the function f defined by f(x)= (1)/(x), x ne 0 .

Discuss the continuity of the function f, where f is defined by f(x)={{:(2x," if "x lt 0),(0," if "0 le x le 1),(4x," if "x ge 1):} .

Find intervals in which the function given by f (x) = sin 3x , x in [0,(pi)/(2)] is (a) increasing (b) decreasing.

Discuss the continuity of the function f given by {{:(x," if "x ge 0),(x^2," if "x lt 0):} .