sin x lim In(x* + 1) x + o+ O 4 O +00

Q: 2X+5/3-x  Find f`(x)

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Q: lim x approchs infinity 5x/(4x^2 + 5x)

A: Given, limx→∞ 5x4x2 + 5x Takine x as common from both denominator and numerator and then cancelling…

Q: sinx Prove that lim 1|

A: Solution: Consider the given limit function and we have to show that  limx→0sin xx = 1 So, limx→0sin…

Q: The shaded area of figure is best described by U B O (AUB)'u (ANB) O B' O (AUB) N (ANB) O ANB' None…

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Q: Lim x>>9 [(6*sqrt x - 5) / (x - 22)]

A: Given query is to find the limit.

Q: Show that f(r) = O(|x – xo|*) and g(x) = o(]x – roP) imply f. g(x) = o(|x – xo]k+i). - -

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Q: {x € Z | x > 0 Ar < 10} n{x € Z | 3y E Z((2 | y) ^ (y | x))}

A: Here first set is all integers between 0 and 10 and second set contains all even integers.

Q: Show that the functi on When x g 0 f(x)= +1 0 . When x = 0 is discontinuous at x = 0.

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Q: Find limit x appraoaches 0 log 10  ( tan2  x )

A: The given function is It can be written as Now, find the limit of the function when x approaches…

Q: Determine a if the following function is always increasing over (-infinity, +infinity)…

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Q: xtɛx x fal

A: The given function is  f(x)=xx3+x

Q: let F(x)=f(f(x)) and G(x)=(F(x))^2  You also know that f(5)=10 , f(10)=3,  f prime of 10 = 4, f…

A: The objective of the question is to find the derivative of the functions F(x) and G(x) at x = 5. We…

Q: lim     ln(2x4+8x)-ln(5x3+7) x → ∞

A: Topic:- limits

Q: Example Given g(x)= a) g(2) x+3 if xs-4 -x-1 if-4<x<1' 2x³ +9 if x21 b) g(-1) find each value. c) g…

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Q: 4) Let f (x) = x +1, g(x) = 2x², Find the following: a)ENTER the answer in simplified form, do not…

A: Use property of function to solve

Q: 5 - x, -1 sx 2 r - 1, 2 <xs 3 Discuss the continuity of g(x) = %3D

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Q: What is the domain of f (x) = ln(x – 3) + 4?

A: Domain where fx is well defined.

Q: 10 lim ]- Vx 「 メ→」 ーメ

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Q: Prove that 2" + 2* -6 lim tan'x - 3tanx lim 2* -2 1-/3 cos (x+ p/ 6)

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Q: Bisection and Regula falsi f(x)=x³+4x-3 with 6 iterations

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Q: x + 4 Let f(x) x + 10 f -'( – 10) |

A: We can find the required answer as below

Q: Describe the transformations from the parent function, then graph: x+4 -2 f(x)= 3 Domain: (-00,00)…

A: Given problem:- f(x)=(1/3)x+4-2  Describe the transformations from the parent function, then graph

Q: oblem 0 times. ning.

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Q: 2 Identify f(x), g(x), and h(x) such that F(x) = f(g(h(x))) for the function F(x) = Vin(x+ In(x+ +…

A: We need to find f(x), g(x) and h(x) from F(x).

Q: x+6 lim x--6t x+ 6 lim x6 x6 Jx 6 lim x6 x6 =

A: If x-&gt; -6^+ then x&gt;-6That means x+6&gt;0So, |x+6|=x+6Answer(a): limit x-&gt; -6^+ |x+6|/(x+6)=…

Q: A function f is even if f(x) = f(-x) and odd if f(x) = -f(-x). For example, f is even if f(x) = x2…

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Q: lim x→0 et 1+x -1 x - sin x

A: If you have any questions let me know in comment box thankyou for your question.

Q: Transformation of ₂F₁ : If x < 1 and X X < 1; then: 2 Fi (a, b; c; x) = (1 − x)¯`ª₂ F₁ X (a₁c-bi ₂…

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Q: im 2x² Sin 4x²

A: Given query is to find the limit of the expression.

Q: 5 - x2 + 2x – 3 = 0

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Q: • Use sequential continuity to show that any polynomial P(x) = x" +an-1x"-+...+ ao is continuous…

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