Calc1131W3T1 - Limits at infinity

Friday, 23 March 2018

1:23 PM

Machine generated alternative text: Evaluate following limits . It the l.rnn ensts. enter the limiting value . It the amt does not exist, enter lim 3 3 lim sin(r) -@ÜÜÜÜjot3 5 lim
Machine generated alternative text: Visually evaluate the following limits, . It the lamtt exists. enter the Omit . Itthe limt does not exist. enter undeEned, s 67 8 • lim f(r) =
Machine generated alternative text: cos@) Select all true statements regarding the behaviour of z) ard tor large values of r lim cos(r) eosts cos(r) lim lim cos(r) cos(r) e, lim lim cos(.r) undefined cos(x) lim undefined COS ( ) lim 0 undefined
Machine generated alternative text: In 1986. a catastrc»hic nuclear accident occurred in Chernobyl. Ukraine An explosion in the nuclear reactor released largo amounts of radioactive Caesium-137 into the area. The 1986 level Of radiaton was 3000 kBq/m2 where I kBq/rn2 means one kilobecquerel per square meter Since Cae5•um-13/ has a halt-life ot go years, the amount 01 radiation caused by tilts explosion t years alter 1986 is given by the equation 3000 x 2 Answer tha following questions to the nearest integer . The 7016 of radiation was k Bq/m2 . 16 • How many years attor 1 986 until radiation lovels aro loss than 3 kBq/m Note- a safe level of radiation is about 3 kBq/m
Machine generated alternative text: Bitcoins ere a dig:tal currency •nvented In 200b Irvstead ot printing currency, "ew Bitcoins are mede blocks et a rate o' One block even' 10 minutes. A sequence 01210,000 blocks 15 called an The numbev 01 Bitcoins per block depends on the era . In tne first era (2009-2013). each block contaned 50 Bitcons • In the second era (2013-2017), each block contains 25 Bitcoins . In the nth era, each block contains Bitcoins Which is the first era where a new block contains fewer than one "h The total number ot Bitcoins made in the first n eras is 50 50 210,000 50+T+_+...+ 22 As timo gaos to infinity. tho number Of 8itcOins mada approaches 21tXt0COO 2'7-1 2100c0'10iY<-1-2'n; Note- the Maple syntax for 1/2/1 is 1/2 -n, and the definition ot Bitcoin has been slightly adapted in this question to emphasise its mathematical aspect.

 

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