etion f(x) ff(x) is

Q: lim = 0 || x→00 X X 00

A: To show: limx→∞1x2=0 Solution: Given limit is, limx→∞1x2 As,x→∞,⇒x2→∞And,1x2→0 (As,1∞→0)⇒limx→∞1x2=0

Q: x³+3x f(x) = 2-4x+3

A: Given that fx=x3+3xx2-4x+3   Quotient rule for differentiation. ddxuv=v·ddxu-uddxvv2 Here,  u=x3+3x,…

Q: lim f(x) X-0 4 3 -2-1

A: The limit of a function at x= a is said to exist if its left hand limit is equal to its right hand…

Q: nction f(x) = find f-1(x). 3x+2 2+x

A:

Q: lim x→0 5x² + 3x² + 1 X =

A:

Q: fem - lim fex) &(X+h)-f(x) %3D

A: Differetiability definition .

Q: lim (Vx2 – x – x) X→∞

A:

Q: Using the second derivative test, find the local extrema of the function f(x)=x3−9x2+24x−7.

A: We find the first and the second derivative using the power rule

Q: liminate arbitrary constants y=C1x+C2e-x+x2

A:

Q: lim (1+ / tan(x² – 3x + 2) X' is :- X2 (A) e (B) 1 (C) e ! (D) e

A:

Q: lim x→−3 g(f(x)) f(x) = x + 7    g(x) = x2

A: Given f(x)=x+7 and g(x)=x2

Q: lim f(x) = f(x)3D X→-3 %3D

A: To find the limit of function f(x),  limx→-3f(x)

Q: lim X → 00 (x²+2) sech(x)

A:

Q: lim F(x) where 2x², -1 < x < 1 F(x) = 3 – x, 1<x < 2

A:

Q: lim x++∞ x² + x e²x + Inx

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: QI Find f'(2) for (x³ – x)(x² + 2)(x² +x – 1) f(x) = %3D x + 2

A: Here I am attaching image so that you understand each and every step.

Q: (b) f(x) = (3x – 2a²)³

A:

Q: Evaluate the limit.

A: Given: limx→-∞x2-x3e2x for evaluating given limit, we substitute x=-h, after that simplify it and…

Q: f(x) = 2x-3/4

A:

Q: lim (x2 – x')e?* X -

A:

Q: lim (x,y)-(2,4) x² +x/F-2y x-Vy %3D ||

A: Solve the limit

Q: lim (e 8/x - 5x) x/2 x-0

A:

Q: lim x + vx - Vx = |

A: Given : To find the limit of the given functionlimx→+∞ x+x-x=?

Q: lim (x – Vx² + x)

A: Solution-

Q: lim f(x) = f(0). X-0

A: We have to prove that  limx→0+f(x)=f0

Q: lim (Vx2 + x (v. – x

A:

Q: sin (x-1) lim x+1 x2+2x-3

A: To evaluate: limx→1 sin⁡(x−1)x2+2x−3 The given limit is of indeterminant form 0/0

Q: naximum value of f(x)

A:

Q: lim h-0 + lim g(x) (*+h}-r(x) h-0 h [S(x)•g(x)] 8(x)

A: The given expression of limit,limh→0fx+hgx+h-gxh+limh→0gxfx+h-fxh

Q: lim h→0 f(2+h)−f(2)/h f(x)=−7−√x

A: The given function is f(x)=-7-x

Q: lim x cscʻx

A:

Q: lim 2 -V1-x find Value. 3 +x

A: We need to evaluate the following limit limx→02-1-x3+x

Q: Finding the extrema of f(x) = 2x² – 3 x^3 on the interval [0, 1].

A:

Q: lim x approaches infinity x1/x

A:

Q: e Second Derivative Test to find all relative extrema of g(x) = x³ – 3x² +3. Show your work.

A:

Q: lim f(x)= X x3+

A: Definition used -              Limit of a function -               A function approaches to an…

Q: lim f(x)= c) f(1) = x-1* lim f(x)= lim f(x)= b) x3 x2-

A:

Q: lim f(x) = x →3+

A: Using the graph given in the question the value of limits can be obtain.   3. limx→3+fx The value of…

Q: lim (e* + x)/x

A: Given data: The expression for the given limit is a=limx→∞ex+x1/x. Substitute the given value of…

Q: lim f(x) = x - -4" a. b. lim f(x) = x- -2 C. f(-2) = %3D

A:

Q: First and second derivatives Find ƒ′(x) and ƒ″(x).

A: Given, fx=x2-7xx+1

Q: lim f(x)= a. %3D b. lim f(x) = %3D x-4 c. f(4) = %3D

A: As per the intruction, we will be answering only the first three subparts. Given:

Q: sin x lim x0 2x2-x

A: Evaluate the given limit as follows. limx→0sin x2x2-x=00 Since 0/0 is an undetermined form, the…

Q: メイイ lim X o X²

A: We need to find the limit

Q: Use differential calculus to find the exact intervals where the function is increasing or…

A: Given that: f(x)=x4-4x3-8x2+5

Q: lim f (x) %3D X-2

A: Given that : Graph of the function :

Q: Using the First Derivative Test, what are the local extrema for the function g(x) - + 9x- 28x + 1?…

A:

Q: lim f(x+h)- f(x) where f(x)=4- 2x-x h

A:

Q: lim Vx+ 2/x - Jx)

A: NOTE: Refresh your page if you can't see any equations. . multiply and divide by