Asequence{an} is given by a1=sqrt(2), an+1=sqrt(2+an).
a) by induction or otherwise, show that {an} is increasing and bounded above by 3. apply the monotonic sequence theorem to show that lim n--> infinity an exists.
b) find lim n--> infinity an.

Which tone best fits a business letter

Which sentence best describes the biased way the author approaches this topic? boars = bacon. and gammon, chops, sausages and feel your salivary glands begin to tingle at the thought of your teeth sinking into that first tender mouthful, and you will be half way towards a sensible attitude towards these creatures. they’re pigs. porkers, hogs, swine, if you will. they dig up people’s gardens, occasionally attack their dogs, spread disease and generally cause a nuisance. in culinary terms, they’re no different to cows or sheep or any of the other feeble-minded, four-legged frolickers which, in various pasties, pies and other assorted pastry cases, end up on our steaming plates on a daily basis. low in fat but high in deliciousness, by eating a wild boar you aren’t depriving poor little peppa and george of a long-lost cousin, but rather reaffirming your god-given position at the top of the food chain. if a boar could eat you it would, thus i say we should return the favour with interest. so say no to the misty-eyed squealers and man up, tuck in and pig out!

What is the speaker telling the grecian urn in these lines from “ode on a grecian urn”? he wishes the urn could talk so he could hear its stories. he knows the urn will still be around for others to see after he is dead. he fears that when he gets old, the urn will suffer because nobody else will take care of it. he wishes the people frozen on the urn could warm up and come to life.