If function f(x) and g(x) are continuous everywhere and f(1)=2, f(3)= -4, f(4)=8, g(0)=4, g(3)= -6, and g(7)=0 then limit of (f+g)(x) as x approaches 3 is equal to * О 10 O 11 O cannot find a value for the above limit since only values of the funtions are given

Q: 11 .Does the value of a function at a point have to exist in order for the limit to exist at that…

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Q: х3 + 6x2 — 32 – 32 1. lim х--4 х3 + 5х2 + 4х

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Q: Evaluate the limit. 1² – 4x + 3 lim 3x3 21 +3

A: To evaluate the limit limx→∞x2-4x+33x3-2x+3

Q: p(x)=3x^2-x+8, million dollars is a company’s profit, x years after 2000,   0≤x≤10 Find the…

A: Hey, since there are multiple sub-parts posted, we will answer the first 3 sub-parts. If you want…

Q: ∫dx/((1+x)), limits from 1 to 2

A: We have to evaluate ∫1211+xdx

Q: True/False: If the domain of f(x) is all real numbers and f'(x) <0 for all x, then lim as x goes to…

A: Consider fx=e-x so domain is all real numbers.  Also, f'x=-e-x&lt;0.  Calculate the limit…

Q: x + 3 2x+3 5. (a) Find f(a) for a = -2,-1,0, 1 if f(x) = x + 2 2 4-x for x 1 (b) Find lim f(x) and…

A: Given: For (a), f(-2)=2(-2)+3=-1f(-1)=DNEf(0)=0+2=2f(1)=2

Q: 1) Describe in your own words, how to determine the limit of f(x) as x approaches a given point and…

A: Hi! you have posted multiple questions. As per norms, we are answering the first question as nothing…

Q: The limit lim h→0 f(x) a = 1 = x^3 (1 + h)³ - 1 h represents f' (a) for some function f and some…

A: We know that: f'(x)=limh→∞f(x+h)-f(x)h and f'(a)=limh→∞f(a+h)-f(a)h.

Q: 2. (a) (5) What is wrong with the following statement? "The limit of the product of 2 functions is…

A: Given that limit of  product of two functions is the product of limit of two function

Q: Which of the following is TRUE for the function g(x) = x^2-2x? O g(x) is increasing on (-infinity,…

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Q: A function f is defined as follows: (px2 – 4, = {2x – 1, x 5 8-x., (a) Given that the limit at x = 3…

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Q: What is the limit of the following lim x goes to 0 of x*csc(x)*sec(x)?  Please provide step

A: Given limx→0 x cosec x .sec x⇒limx→0 x.1sin x.1cos x=limx→0 2x 1sin 2x

Q: Find the limits as x →co and as x→ co. (If the limit is infinite, enter 'co' or '-co', as…

A: Step 1:Step 2: Step 3: Step 4:

Q: Determine whetherthe limit exìsts or not when a) xーヤ 3 and 6) x→-3 F(x) = 1 Vx?4 Wien x<-ろ Vg-x²…

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Q: Let f(x) = (3x^2 + 16x − 12)/(x + 6). Find L such that lim x→−6  f(x) = L, and prove that the limit…

A: Let f(x) = (3x^2 + 16x − 12)/(x + 6). Find L such that lim x→−6 f(x) = L, and prove that the limit…

Q: Q 4. (a). Show that limit *1, does not exist if (5-4x S(x)=. -)- {ax-2 for x <1] for xz1]

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Q: Calculate ?′(7) using the limit definition if ?(?) = ?^2 + 3? − 4.

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Q: Prove the following theorem. Theorem: “Squeeze theorem" for infinite limits Let a e R. Let f and g…

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Q: Find the range of the Function /(a) 12 0(-, ) O (-x, 12) O (-, 0)U (0, o) 0-, 12) u (12, oo)

A: Topic - functions Range of the function is the values for which f(x) is defined. The given function…

Q: 10. Given the functions /(x) = 3x² + 2x + x+1 and g(x) = 2x² – 1, find (f - 9)x. a 3x +x b. 3x +x+2…

A: Since you have posted multiple questions i can do first question as per our company guidelines…