f(x) = x+2 and g(x) = x-2, evaluate: (f + g)(x),   (f - g)(x),   (f * g)(x)

Q: Lim x2-x- X7-2 2-2

A: limx→-2x2-x-4x2-2

Q: Find the limits

A: We will find the limit by substitution

Q: 3x2-x+1 lim x→+∞ V9x5-x3+3-x2

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: x²-x-6 - lim x→-2 x+2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: limx→∞x3+26x2−x=

A:

Q: lim, →2, 1 X – 2J2x

A: The limit of the function is given limx→21x-2∫2xx2dt1+t3. To check the limit of the function ,…

Q: Find the limits

A:

Q: x² – 9 - lim x--3 x² + 2x – 3

A: The given function is limx→-3x2-9x2+2x-3

Q: Find all absolute and relative extreme values of the function f(x) = -x° + 2x2 - x - 1, on the…

A: Here we have to find the relative and absolute extreme values

Q: lim -5 -1 X→2

A: We have to find limit

Q: x² - x-6 lim x-2 x2 +3x+2

A: L'Hospital Rule: If limx→af(x)g(x)=00      Indeterminant forThenlimx→af(x)g(x)=limx→addxf(x)ddxg(x)…

Q: lim Vx2 + 2x – 3 x→-3-

A:

Q: 2-3x Jika fungsi f (x) = x+5 ' ,x + -5, maka f-'(x) = .. %3D .

A:

Q: Limit メ+5 メ→-5 |Jx-っ-4

A: To findlimx→-5x+5|x2-9|-4

Q: lim (2 - Vx +2)

A:

Q: lim x approaches 2/3 .............. (8 - 3s)(2s - 1)

A: We have to find the limit: limx→238-3s2s-1 This is determinate form of limit so we just have to put…

Q: x2-4 lim x--2 x2+4x+4

A: In this question, we have to find the limit of a function which is of the form 0/0.

Q: lim f(x). V5-2x2 <f(x)< V5-x² for -15xs1, find

A: Since both the function lies in interval for x=0. Hence let us find the interval  for the first…

Q: et-1 - 1 (b) lim x1 x2 - 1

A:

Q: lim (-2x – 6) X-8-

A:

Q: limx--&gt;3 x2−x−6/x-3

A:

Q: Lim x-&gt; 1x-1/((√x+3)-2)

A: Given an expression in variable x, where we need to find its Limit value when x tends to 1 as shown…

Q: tunction is eontinuas f(x) = [2x²2x4 X-2 at 2 x = 2

A:

Q: x2 -x-6 2. lim -2 x2 -2

A: The given limit expression is limx→-2x2-x-6x2-2.

Q: lim Vx2 + 2x – 3 x-3-

A: It is given that, limx→-3-x2+2x-3 According to the rule of limits, the limit will exist only if…

Q: डणि2X Lim 2. x²

A: We have to find the limit of given function.

Q: =[cosh" (xe- coshza-X 4. Cosh 20- X 2.

A:

Q: lim (2f(x) + 3g(x)) = x--3

A: Given

Q: Find the limits

A: Given  limx→-3x2 - 13

Q: Using the second derivative test, find the maximum and minimum points for the function f(x)-x* -8x²…

A:

Q: f (x+Ax)-f(x) f'(x) if f(x) =- x by applying f(x) = lim Ax-0 Ax

A:

Q: Lim (x"-3x) (%5x+3) 2. とつ-!

A:

Q: Tutorial Exercise Find the derivative by the limit process. f(x) = 12 – x² .2,

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Q: lim (x-7x – 2x+5) is infinity. |

A: Topic = Limits

Q: 2 2 lim √x + 6x - √√x - 8x X-00

A: We have to evaluate limit in this question.

Q: lim + 4x - - X00

A:

Q: Limit (x-> infinity) [(x3 +4)2  -x6]/ x3

A: Recall: Definition of limit :     Let f(x) be a function defined on an interval that contains x=a ,…

Q: Find the limit

A:

Q: lim 7x + 3. x-2

A:

Q: lim X+0 2-√ 4-X² x ²

A: We can find the answer by finding the limit as below.

Q: Find and classify the extreme values of f (x) = 6x4-4x6 over the interval [-2, 2]

A:

Q: lim メ-2 ー×t6-× 2. 12-X X +6

A: Solving

Q: lim *2+x-6. x²-4 2–4 is x-2

A: If we put the value of x as 2 in the given expression, The form will be 0/0 Because 0/0 is of…

Q: im                           =x/x-2 x-> 2^+

A: Given limit is as below:

Q: lim₂+-1 f(x) = C 2

A: limit exist when

Q: Determine if the function is continuous. x4-1/x2-1

A: Given:     To determine: the function is continuous or not.

Q: limit (x-> 0) ( x4 +3 x2 )/ (x3 + 4x2)

A:

Q: IT -2, when -A <x<- f (x) = when %3D <Xく - - -2, when IT <X <I. - 2,

A: