Home
Class 12
MATHS
Let f(x)={{:(x sin.(1)/(x)",",x ne0),(0"...

Let `f(x)={{:(x sin.(1)/(x)",",x ne0),(0",",x=0):}}` and `g(x)={{:(x^(2)sin.(1)/(x)",", x ne 0),(0",", x=0):}}`
Discuss the graph for f(x) and g(x), and evaluate the continuity and differentiabilityof f(x) and g(x).

Promotional Banner

Similar Questions

Explore conceptually related problems

f(x) = {((|x|)/(x)",","if" x ne 0),(0",","if" x= 0):}

If f(x) = {{:((1)/(e^(1//x))",",x ne 0),(0",",x = 0):} then

f(x)= {((|sin x|)/(x)",",x ne 0),(1",",x=0):} Examine the continuity of f(x), x= 0

If f(x) = {{:((sin^(-1)x)^(2)cos((1)/(x))",",x ne 0),(0",",x = 0):} then f(x) is

f(x)= {((1)/(e^(4x) + 1)",",x ne 0),(0",",x = 0):} Examine the continuity of f(x) at x= 0

Evaluate lim_(xrarr0)f(x)," where "f(x)={{:((|x|)/(x)",",x ne0),(0",",x=0):}

Prove that f(x)= {((sin x)/(x)+ cos x ",",x ne 0),(2",",x=0):} is a continuous function at x= 0

f(x)= {((x(1 + a cos x)-b sin x)/(x^(3))",",x ne 0),(0",",x=0):} . If f is continuous at x=0 then find the value of a and b.

If f(x)= {{:(,(x log cos x)/(log(1+x^(2))),x ne 0),(,0,x=0):} then