Question 15 Suppose you know the following: . • f(-6)=-7 f'(-6)= -10 . · Find the following. f(x) + 7 16x²36 lim f'(x) is continuous for all lim I 6 In(f(x) + 8) x + 6

Q: If f(x) = (1+%) 3 ) 6x *", find lim f(x).

A: We have to find limx→∞fx when fx=1+3x6x If we put limit value then we get that it is 1∞ form We know…

Q: 20. If f'(r) exists at r= a, then (A) True (B) False lim f(x) = f(a) PTA

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Q: 2. Given the graph of the function f shown below, determine which of the following statements is…

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Q: You are given two functions, f and g if - 2 1+

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Q: In the above space, draw the graph of a function with ALL of the following properties: (a) f(0) =…

A: The conditions given for the function is : a) f(0)=-2 i.e. the curve passes through the point…

Q: What are limx→+-∞ k (k a constant) and limx→+-∞ (1/x)? How doyou extend these results to other…

A: limx→af(x)=L means f(x) becomes arbitrarily close to L as long as x is sufficiently close to a.  We…

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: If 1(x) = 8x+9 find lim t(x). 10x+6' X+00

A: The given function is tx=8x+910x+6.

Q: How close to 0 we need to take x so that lnx0 but f(0) does not exist

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Q: lim f(x)=-5 f. f'(-3)=0 а. g. f'(-2) is undefined h. f(-1)=2 i. f'(-1)=0 j. f'(3)=0 b. f'(-5) is…

A: When there's no tangent line and thus no derivative at a sharp corner on a function

Q: Suppose f(x) and g(x) have the following values: • f(8)= -4 and f'(8)= -6, g(8) 1 and g'(8) = -3. =…

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Q: The given function is: VIXI The given function can be written as: y = y = √x, x ≥ 0 S-√√x, x 0…

A: The function is given as , y=x3

Q: Find lim f (x) if, for all x, 9 cos (4x) <f (x) < 8x2 +9. lim f (x) = %3D

A: The given inequality is: 9 cos(4x)≤f(x)≤8x2+9