What are all of the values of x, such that converges?

Q: can anything be said about E- an

A: Given that, ∑nan converges.

Q: Decide whether the following propositions are true or false,providing a short justification for each…

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Q: Jlgu (-1)" +1 Σ (3x)" What are all of the values of x ,such that 00 converges? n=1 x>02 C) x>3.3 O

A: Using ratio test the condition of convergence is:…

Q: 1 converges or diverges. As part Let b be a real number with b > 1. Determine whether 1+ bk k=0 of…

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Q: If an with ANYO is convergent, is {√avanti always convergent?

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Q: n=1 (ii) Give an example such that a, converges conditionally and diverges. IM:

A: Please see the below picture for detailed solution.

Q: (-1)" Determine whether E1 converges absolutely, converges conditionally or stify your answer by…

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Q: Show the following statement is true or not with proof. If {n} converges then {[sn]} converges.

A: We have to show the following statement is true or not with proof. If {sn} converges then {|sn|}…

Q: 2. Determine whether the given sequence {an} converges or diverges with an as given. In each case,…

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Q: Does the improper intergral converge? If so, what is it's value?

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Q: Use the root test to determine whether ye converges, where An is as follows. an =

A: Explanation of the answer is as follows

Q: What are all of the values of x ,such that - (-1) n+A converges? n=1 .1 X26 .2 06

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Q: Let r be a constant. Suppose >,r i=1 converges to 8, then the sum of >r' is i=0 Answer:

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Q: Test the convergency o f Stan ("

A: According to the given information, it is required to test the convergence.

Q: 00 For which a does > n(In n)a converge? n=2

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Q: 00 Let r be a constant. Suppose ' converges to -1, then the sum of )r' is i-1 i-0

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Q: 5. Show that the following sequence Pa - n be before pn-p| ≤5 x 10-²? 1 2n converges linearly to p =…

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Q: Find if ∑(2/3)(n-1) converges. If it converges. Find the value. ∑ goes thru n=3 to ∞. Write step by…

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Q: a, > 0 and Ea, converges, then (-1)"an converges O False O True

A: This is Not True. Hence False is the correct answer. We will prove this by taking an example, Let…

Q: By considering different paths of approach, show that the function below has no limit as…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: converges? What are all of the values of x such that x1.20 >0.3 x<0.40

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Q: n-5 n+2

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Q: value of for which Are there cmy value f converges.

A: We know that a series is said to be convergent if the sequence of its partial sums converges. Using…

Q: What does Ek=1 converge to? Ak+11 k+12.

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Q: Let (rn) be a sequence of real numbers. Show that the convergence of (sn) implies theconvergence of…

A: We have to prove that if convergence of (sn) implies the convergence of (|sn|).

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.