Test Bank For Calculus: Early Transcendentals, 11th Edition All Chapters - 9781119244912

Test Bank For Calculus: Early Transcendentals, 11th Edition All
Chapters - 9781119244912



Sequences - (ANSWER)a sequence is a function which takes the natural numbers as its domain


Monotonic Sequence - (ANSWER)A sequence that is increasing or decreasing


Geometric Series Formula - (ANSWER)Sn=a1(1-r^n)/(1-r)


Telescopic Series - (ANSWER)see pic


Divergence Test - (ANSWER)lim_(k->infinity) [a_k] doesn't equal zero, then the series Σa_k
must diverge


Harmonic Series - (ANSWER)diverges


Comparison Test - (ANSWER)If 0≤An≤bn and if ∑bn converges, then ∑An converges


Limit Comparison Test - (ANSWER)if lim as n approaches ∞ of ratio of comparison
series/general term is positive and finite, then series behaves like comparison series


Alternating Series - (ANSWER)∑(from n=1 to infinity) (-1)^n-1 a{n}. Converges if
0<a{n+1}<a{n} and lim (as n approaches infinity) a{n}= 0


Alternating Series Test - (ANSWER)lim as n approaches zero of general term = 0 and terms
decrease, series converges


Absolute Convergence Test - (ANSWER)If the sum of |a[n]| converges, then the sum of a[n]
converges.