Find the interval of convergence of the following:

Q: Classify the following as discrete or continuous a.) the time it takes a student to finish his test…

A: Discrete numerical data: The type of data that can take a countable number of distinct numerical or…

Q: Consider the series n=1 (2x)n n2

A: The objective of this question is to determine the values of x for which the Ratio Test is…

Q: Consider the series Σ n=1 (2x)n n2

A: The objective of this question is to determine the values of x for which the Ratio Test is…

Q: M8 8 n-1 n=1 x2n 2n n! (x + 3)" 57

A:

Q: Consider the series Σ n=1 (2x)n n2

A: The objective of this question is to determine the values of x for which the Ratio Test is…

Q: Determine whether the sequence converges or diverges. If it converges, find its limit:

A:

Q: What is need of divergence thoerm why we used? Give examples as well

A: The divergence theorem gives the relation between surface integral and volume integrals.

Q: Un which of the following intervals is 1 f(x) = continuous? Vx-2 (2, + ) (-a, +) [1,2)

A:

Q: test the follown divergence or 1. nin2n n=2

A:

Q: Find the limit for the following sequences and determine their convergence (-4)" In n i) a, ii) a =…

A:

Q: 2. a) Write down Newton's method for approximating the square root of a positive number c.

A: 2. a) To find: the method to approximate the square root of a positive number c. Please post the…

Q: Prove that the function f(x) = x³ is continuous at 2 directly using the definition (p. 83).

A:

Q: Let Y Poisson(A), with A > 0. Then, show that Tchebysheff's inequality gives P (0 1

A: Introduction: Suppose X is a random variable with expectation, μ and standard deviation, σ. Then,…

Q: Suppose the function f(x) has a unique zero P in the interval [a,b]. Further, suppose f''(x) exists…

A: Suppose the function f(x) has a unique zero P in the interval [a,b]. Further, suppose f''(x) exists…

Q: find the interval of convergence SELECT AL A) –1 5#S1 B) –12 <z< 12

A: We have to find

Q: スnX readius of convergence. the a.) Find b.) What is intervel et convergence? (Inter the

A:

Q: limn¬(1+ (-1)")

A:

Q: h(x) = x – sin x for 0 <x < 4A -

A: Given the h(x)=x-sinx for 0≤x≤4π We need to determine: a)the intervals of monotonicity for the given…

Q: If (am) is increasing and en (an) is bounded by M converges to a, {|a1\, |a|}. max

A: Let (an) is increasing sequence and converges to a,