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

11 months ago

More Questions On Differential Calculus

Post Question

Vouchers
To Win!!!

use induction principle to verify for n=1 = 5+1/1 + 0/1=6 2+4=6 means for n=1 it is correct , lets prove assume it true for n, and try to prove for n+1.

 Jitender Singh 10 months ago

 Jitender Singh 10 months ago
TANGENTS AND NORMALS find the points on the curve y=3x^2 – 9x + 8 at which the tangents are equally inclined with the axes

Ans: Hello Student, Please find answer to your question below Put in curve: Similarly you will get for x = 5/3.

 Jitender Singh 8 months ago

tangent means slope and slope means dy/dx thus u can diffrentiate both sides and get the answer

 akshat 14 days ago
What could be the best book for doing problems on limits and continuity?

That would depend on whether you are, preparing for CBSE subjective questions or competetive exam questions. In context of the former, R.S. Agarwal, R. D. Sharma or other substitutes to them...

 Ravi 6 months ago

amit m aggarwal by arihant series is the best for calculus(entire series for differential and integral)both are separate books solutions are also provided in the same book itself for iit jee...

 vineet chatterjee 6 months ago
solve cot theta - tan theta - costheta +sintheta = 0

 Jitender Singh 10 months ago
pls tell me the solution with explanation

Dear Student, Where is the question? Thanks

 Nishant Vora one month ago

No question file is attached,,,,,

 Saurabh Kumar one month ago
FIND UNIT VECTORS PERPENDICULAR TO THE PLANE DETERMINED BY THE POINTS P(1,-1,2) , Q(2,0,-1) AND R(0,2,1).

The two vectors in the given plane is PQ & PR PQ = (2 – 1) i + (0 + 1) j + (-1 – 2)k = i + j – 3k PR = (0 – 1)i + (2 + 1) j + (1 – 2k = –i + 3j – k The vector perpendicular to PQ & PR is PQ...

 Y RAJYALAKSHMI 9 months ago

THANKS!!!!

 Bharat Makkar 9 months ago
View all Questions »