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                   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

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                                        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

one year ago

Number of points where f(x)=1/ln|x2-3x+3| is dicontinuous

6

 sonukumaraman 27 days ago

6

 Raghu Vamshi Hemadri 22 days ago

Hint: Frst find the value of d 2 y/dt 2 and d 2 x/dt 2 then divide these two values to get d 2 y/dx 2 . Then finally put t = 0. Thanks.

 Vijay Mukati 2 months ago
what is the use of vector space

To represent the quantity wich have both magnitude and direction.

 Vineeth one year ago

Hiiii I am from tutorsduniya.com .We connect students with teachers on facebook,whats app,etc.You can clear your concepts from teachers .You can ask them anything , you like to, be frank...

 vikash khandelwal one year ago

By understanding laws of vectors we can represent a physical quantity wich has both magnitude and direction in mathematical form ,also with selecting a reference point . By understanding...

 Vineeth one year ago
A tosses an unbiased coin 3times If he gets a head all 3times he is to get a prize Rs.160/- along with his entry fee of rs.16/- oterwise he loses his entry fee, the mathematical expectation ...

is it 8 we have to find mean

 Shubham Singh 4 months ago

nope.....................

 noogler 5 months ago

1/8

 DR Vinay 5 months ago
cos (alpha+beta)= 0 then sin(alpha + 2beta ) = a. sin alpha b. cos alpha c. sin beta d. cos 2beta ​I want answer with full solution

This is an easy question.

 Shubham Kamleshbhai Patel 3 months ago

cos (α+ β) = 0 So let (α+ β) = θ. Then cos θ = 0 => θ = 90° Thus (α+ β) = 90° So, β = 90° – α -------------------------- (1) Substituting (1) in sin (α+2 β), => sin [α + 2(90° – α)] =>...

 Shubham Kamleshbhai Patel 3 months ago
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