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

Q: B) Test the functions continuity at the given poihts: (x²-x-6 1) f(x) 3D x * 3 ,at x 3, x 5 X-3 x =…

A: f(x)=x2-x-6x-3x≠35x=3

Q: (2x+1 x² +2 x> h) Xsh Q3) If the function f(x) %3D having limit at x h. Find the value of h.

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Q: lim x→-3 √x²-5-2 x² + 2x -3 - 2. lim t→1- 2 2t² - 3t+1 1 t² - 3t+2,

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Q: Use the comparison theorem to determine whether = is convergent or divergent. Hint: Compare it with…

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Q: Find the value of m such that g(x) = {x+5 , if x ≤ m} and g(x) = {2x - 3 , if x > m} is continuous…

A: Function limit and continuity

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: What type of discontinuity occurs at x = 1 for the piecewise function? if x <1 if 1<x 3+ x h(x) =…

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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: Evaluate (x2 – 2x³) dx using the limit of Riemann sums.

A: given integration is                                       I=∫01x2-2x3dx we have to find value of…

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

A:

Q: Let x1 O and xn+1 x+1 2 Show that (x,n) converges and find its limit.

A: It is given that  x1=0 and xn+1=xn2+12. Let xn+1=ϕ(xn)=xn2+12 By fixed point iteration method…

Q: + 3x - 6x if xs-2 if x>-2 A) Check the continuity of the function f(x) at x =-2 f(x) =

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Q: If 7x-5,x < 1 h(x) 3x2 – x, 1 < x < 3 Is h(x) continuous at (x=1)?

A: Given: hx=7x-5,x&lt;13x2-x,1&lt;x≤3 We know that any given functiony=fx will be continuous at x=a…

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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