Evaluate the following limit using Taylor series. 3 lim 2x2 zle x2 1 X>00
5. Evaluate the limit: lim expn n! n>00
Determine if the limit exists, Graphically b.) lim X1 x2 + 3 2 x<> 1 x=1
( 7n3 +1 (1 point) Consider the series > 1. Evaluate the the following limit. If it is infinite, = ( 2n3 + 3) type "infinity" or "inf". If it does not exist, type "DNE". lim vanl = 1 n-> Answer: L = What can you say about the series using the Root Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: choose one Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent"....
Evaluate the following limit using Taylor series. -X- In (1 - x) lim x→0 106² - x - In (1 – X) lim (Simplify your answer.) x→0 1082
solve please now Evaluate the following limit using Taylor series. 8 tan* *(x) – 8x+x lim x³0 33³ 8 tan (x) – 8x + x2 lim X-0 = (Simplify your answer.) 3x
Please answer with work Evaluate the limit. sin 5x 10) lim 10) X>0 sinx A) -5 B) 1 C) 5 D) 0
Prove the statement using the ε, δ definition of a limit. Prove the statement using the ε, definition of a limit. lim x → 1 6 + 4x 5 = 2 Given a > 0, we need ---Select--- such that if 0 < 1x – 1< 8, then 6 + 4x 5 2. ---Select--- But 6 + 4x 5 21 < E 4x - 4 5 <E |x – 1< E = [X – 1] < ---Select--- So if we...
limit 3 HY) = -2+ aj evaluate_follo ning √x+124 b) for what value of a X2 is XZ1, X23 ${x) = { case Lax, *>3 continuous at everyx?
Question 23 . > 1 if x = 3 and f(x) = x2 – 3 and g(x) = then g(f(x)) Find the following given: f(x) = x2 + 3 and g(x) = x – 2 f(g(x))= Submit Question
Evaluate the piecewise defined function at the indicated values (x2 f(x) if x -1 6x if 1 < x s 1 = -1 if x > 1 f(-3) (- 3 2 f(-1) f(0) = f(30) =