ometimes even when we are not sure whether or not a particular limit exists we...
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ometimes even when we are not sure whether or not a particular limit exists we can still use algebra t now that there are only a small number of possible values the limit could take a Last week in tutorial we saw that lim tan sin It also happens to be true though we will no x 0 x3 3 verify it at this time that lim tan x 2 Suppose that lim sin exists Determine the value sin the limit Hint This is a special case of part b x 0 b Suppose f x g x and h x are three functions with lim f x xc g x f x i If M 1 show that either lim ii What can you say if M 1 M and lim f x g x h x X C ML 1 M or the limit does not exist L
ometimes even when we are not sure whether or not a particular limit exists we can still use algebra t now that there are only a small number of possible values the limit could take a Last week in tutorial we saw that lim tan sin It also happens to be true though we will no x 0 x3 3 verify it at this time that lim tan x 2 Suppose that lim sin exists Determine the value sin the limit Hint This is a special case of part b x 0 b Suppose f x g x and h x are three functions with lim f x xc g x f x i If M 1 show that either lim ii What can you say if M 1 M and lim f x g x h x X C ML 1 M or the limit does not exist L
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