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

9 months ago

More Questions On Differential Calculus

Post Question

Vouchers
To Win!!!
See attachment sir please explain this question …...I’ll be very great full

Ans: Thanks & Regards Jitender Singh IIT Delhi askIITians Faculty

 Jitender Singh 8 months ago

 milind 8 months ago

 milind 8 months ago

 Jitender Singh 6 months ago

no sir it is e raise to power integer part of x part of x

 milind 6 months ago
​Q . TOTAL NUMBER OF SOLUTIONS OF - 2 X + 3 X + 4 X – 5 X = 0 IS=?

divide the whole equation with 5^x and you will get ans 1

 Abhishek Singh 2 months ago

according to me it is no solution

 srikar 4 months ago

its 1

 archi gupta 4 months ago
No. of solution to the equation. [y+[y]]=2cos x where y=[sinx+[sinx+[sinx]]]/3 where [] denotes greatest integer function.

Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty

 Arun Kumar 8 months ago
prove pythagoras theorem using trigonometry..........................plz explain briefly

Pythagorean Theorem, The theorem states that: "The square on the hypotenuse of a right triangle is equal to the sum of the squares on the two legs”. This theorem is talking about...

 Saurabh Kumar 4 months ago

For a right angled triangle, with sides P(perpendicular), B(base) and H(hypotenuse); write the trig. ratios in terms of P, B and H with any of the internal angle of the triangle. Using the...

 Ravi 4 months ago

Hi Student We know using trigonometry sin = p/h and cos = b/h and using identity sin 2 + cos 2 =1 p 2 /h 2 +b 2 /h 2 =1 p 2 + b 2 = h 2 (Hence proved)

 Harsh Patodia 4 months ago
tan^6 180/9 – 33 tan^4 180/9 + 27 tan2 180/9 is

Hello student, Please find the answer to your question below tan^6 180/9 – 33 tan^4 180/9 + 27 tan2 180/9 = take tan square common tan 2 20( tan 4 20 – 33 tan 2 20 + 27 ) now you...

 Nishant Vora 6 months ago
View all Questions »