please circle the answer Find the interval of convergence of ♡ (x – 4)" n! n=0...
Find the interval of convergence for the given series. Ž (n+3)(x +10) (Use symbolic notation and fractions where needed. Give your answer in the form of a single value or an interval of the form (* ). Use the symbol oo for infinity for an empty set, U for combining intervals, and an appropriate type of parenthesis "C". ")". Tor "T" depending on whether the interval is open or closed.)
Expand the function is in a power series anx" with center c = 0. Find anx”. n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed. For alternating series, include a factor of the form (-1)" in your answer.) (-6) anx" = 5n+2 Determine the interval of convergence. (Give your answers as intervals in the form (*, *). Use symbol oo for infinity, U for combining intervals, and appropriate type of parenthesis " (", ")", "[" or...
Using interval notation, determine the largest domain over which the given function is one-to-one. Then, provide the equation for the inverse of the function that is restricted to that domain. If two equally large domains exist over which the given function is one-to-one, you may use either domain. However, be certain that the equation for the inverse function you submit is appropriate for the particular domain you choose. f(x) = x² + 18x (Give your answer as an interval in...
Find the critical points and the intervals on which the function f(t)=2-3«/, (x > 0) is increasing or decreasing. Use the First Derivative Test to determine whether the critical point is a local minimum or maximum (or neither). Find the 2-coordinates of the critical points that correspond to a local minimum. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) Find the -coordinates...
Find the radius of convergence and interval of convergence for the given power series (note you must also check the endpoints). (Use inf for too and -inf for --oo. If the radius of convergence is infinity, then notice that the infinite endpoints are not included in the interval.). Radius of convergence: For the interval of convergence (1) the left endpoint is = left and included (enter yes or no): (2) the right endpoint is z= right end included (enter yes...
Find the interval of convergence for the series. (Enter your answer using interval notation.) oo n! · (5x - 1)" n = 1 (-00,5) x Find the radius of convergence for the series. R = 0
Q19 Find the interval of convergence of the given Taylor series representation. 5 1 + 4x = 5 - 20x+80x2 -5(-1)"4"x" Give the interval of convergence for the Taylor series. (Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in interval notation.)
8. of the derivative gf's of a The figure is the graph | Sunction f on [-3, 31. (a) Determine the intervals on which f is increasing (Use symbol u for combining intervals, and an appropriate type of parenthes is '(,), "L', 'I dependending on whethere the interval is open or closed). 6) Determine the intervals on which of is decreasing, (e) Determine the intervals on which & is concave down. Determine the intervals on which fis concave up.
(a) Find the series' radius and interval of convergence. Find the values of x for which the series converges (b) absolutely and (c) conditionally Σ (-1)" *'(x+12)" n12" (a) The radius of convergence is (Simplify your answer.) Determine the interval of convergence. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The interval of convergence is (Type a compound inequality. Simplify your answer. Use integers or fractions for any numbers...
please box answers Find a power series representation for the function. (Give your power series representation centered at x0.) 4 x16 n=0 Determine the interval of convergence. (Enter your answer using interval notation.) Find a power series representation for the function. (Give your power series representation centered at x0.) 4 x16 n=0 Determine the interval of convergence. (Enter your answer using interval notation.)