1800 2000 838

CART 0

• 0

MY CART (5)

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price:

There are no items in this cart.
Continue Shopping
                   if f(x) = { 3-x2 , -1[_x[_2
{ 2x-4 ,  2[_x[_4 then find fof(x)and discuss the continuty and differentiability


3 years ago

Share

                                        Ans:$f(x) = \left \{ 3-x^{2}, -1\leq x< 2 \right \}$$f(x) = \left \{ 2x-4, 2\leq x\leq 4 \right \}$Continuity,Left Hand Limit(LHL) = Right Hand Limit(RHL) = f(2)$LHL = \lim_{x\rightarrow 2^{-}}3-x^{2} = -1$$RHL = \lim_{x\rightarrow 2^{+}}2x-4 = 1$$LHL\neq RHL$f(x) is not continuous at x = 2Similarly you can find Left Hand Derivetive & Right Hand Derivative$LHD=\lim_{x\rightarrow 2^{-}}\frac{f(x+2)-f(2)}{x}$$RHD=\lim_{x\rightarrow 2^{+}}\frac{f(x+2)-f(2)}{x}$f(x) is not differentiable at x = 2Thanks & RegardsJitender SinghIIT DelhiaskIITians Faculty

10 months ago

More Questions On Differential Calculus

Post Question

Vouchers
To Win!!!
please explain fully …...if it is 0/0 form than tell why ….…..please

Ans: If the given function in the limit is of zero by zero form, then we can apply L’Hospital rule which is explain below f(a) = 0 g(a) = 0 Similarly follow for higher derivative. We...

 Jitender Singh 9 months ago

jitendra sir my question is not ..to explain l hospital rule ….….my question is that the image that i attach have 0/0 form …. how it have 0/0 form.....................jo maine question...

 milind 9 months ago
TANGENTS AND NORMALS show that the following set of curves intersect orthogonally y=x^3 and 6y=7 – x^2

Ans: Hello student, Please find the answer to your question below If the curves intersect orthogonally, then tangents at their points of intersection must be perpendicular Curve 1: Slope of...

 Jitender Singh 7 months ago
TANGENTS AND NORMALS at what points on the curve y= 2x^2 – x + 1 is the tangent parallel to the line y=3x + 4.

Ans: Hello Student, Please find answer to your question below Slope of tangent = 3 Put in curve

 Jitender Singh 7 months ago
Incident ray is along the unit vector v and the reflected ray is along the unit vector w . The normal is along unit vector a outwards. Express w in terms of a and v.

Hello Student, v is unit vector along the incident ray and w is the unit vector along the reflected ray. Hence a is a unit vector along the external bisector of v and w. w-v=ka...

 Arun Kumar 9 months ago
How is the magnitude of the scalar triple product is the volume of a parallelopiped formed by adjacent sides given by the three vectors a , b and c . (The bold letters represent vectors)

Hi, When you do AxB, it represents the area of a parallelogram, i.e. a two dimensional figure. But when we take its dot product with the third vector , that means we are taking the component...

 Yash Baheti 5 months ago
A ball thrown by a boy in the street is caught by another boy on a balcony 4m above the ground and 18m away after 2s.calculate the intial velocity and the angle of projection.

Let us first resolute the velocity as ux for velocity along x axis due to which it travels 18m and uy which is vertical velocity due to which it travels 4m. There is no air drag(assumption)...

 Govind Menon 9 months ago
View all Questions »