Use the Comparison Theorem to determine whether S 2 x + 1 X dx is convergent or divergent.

Q: Use the three step process to determine if the function f (x) = S2² +1 ifx 2 at r = 2. Your Answer:

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Q: (x² + 8, if x4) Consider the function f(x) = Find the value of B such that f (x) is continuous at x…

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Q: (2ax + 4,x < 2 g(x) = 110, 7. Find the value of “a" if gx) is continuous for all 2 < x real numbers.

A: g(x)is  continues for all real numbers

Q: Let f(x) be the piecewise function -2x + k f(x) = { x² + 1 if x < 1 if x ≥ 1

A: for continuous function

Q: (4ах + 2b , X<1 2х — 3Ь,1 <х < 3 (2ах + 4b g(x) ,3 <x Find the values of "a" & “b" if gm is…

A: We will find the value of a and b as following-

Q: ?-t-20 f(t)= 12+7t+10 is piecewize continuous on [0,10]. True O False

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Q: f(x)=x+10x+25 x+5 3 O True is continuous at x = -5 O False

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Q: Let ∫∞−∞ f(x) dx be convergent and let a and b be real numbers where a ≠ b. Show that

A: Let ∫-∞∞f(x)dx is convergent and a,b∈-∞,∞ To Show: ∫-∞af(x)dx+∫a∞f(x)dx=∫-∞bf(x)dx+∫c∞f(x)dx     If…

Q: Find a and b so that f(x) is continuous if f (x) = Ⓒa = ²/1 b = 60 96 a = - ²/2 b = 29/4/20 -²/26 =…

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Q: [6 – 2x, \x² - 8, xS 3 x > 3 f(x) Where are the intervals where the function is continuous? Are…

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