let f(x). = ∞ { ntl (-1) (X-5)" и n5" n=1 Find the interval of convergence of a). f(x) b), f(x) c). S fox) dx Include a check for convergence at the end points.
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Find the interval of convergence of
a) f(x)
b) f'(x)
c)
Step by step
Solved in 3 steps with 2 images
- Expand f(2) = -5)(z-15) in the domain 5 < |2 < 15.3. Is there a relation between the domain of a function and its interval of convergence? Q Search entries or author Unread 个 ↓Find the open intervals where f (k) is concave up and where it is concave down. Enter your answer in interval notation. For example, if the function is concave up when -10 < k < 2 as well as when 4 < k < 7, then you would enter (-10, 2) U (4,7). f(k) k (k-1) 3 Show your work here Hint: To add infinity (∞), type “infinity” concave down intervals: concave up intervals:
- Let ƒ(x) = 6x² + 2x³. Select all intervals where f(x) is INCREASING, 0 (-∞, ¹²¹) ☐ (0, ∞0) 0(,0) (금,쿡)check if the fixed point itteration converge or diverge for (6/x-5) in interval [4,5]Find the maclaurin of the fx and use it to find lim(x->0) (f(x))/x^2 and f^(201) (0) and f^(202) (0) and interval of convergence.....
- Suppose f is continuous, positive, decreasing, and concave up on the interval [5, 15]. Compare each pair of quantities, then de Left hand sum for f (a) on [5, 15] with n Right hand sum for f on [5, 15] with n = 17 ---Select--- 17 15 f(x) dx /15 (b) f(x) dx ---Select--- Right hand sum for f on the (c) interval [5, 15] with n = 9 Right hand sum for f on the interval [5, 15] with n = 27 ---Select---Q5/ Consider the following sequence (x)) EN = (sin(2nn), cos (2nn)) in R². Find the limit if exists and try to sketch on the plane R² geometrical location of several points of all sequences.s(*) = X-4 Find the x-values (if any) at which the function fx x2-2x-8 is not continuous. Which of the discontinuities are removable? A) x-4 (non-removable), x=-2 (removable) B) x=4 (removable), x--2 (non-removable) C) x=-2 (non-removable) D) no points of discontinuity E) x=4 (non-removable)