MATH 205 Quiz: MATH 205 Louisville Quiz 7 150327 Solution
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It is a truism that as 0, 0. Less intuitively, as 0, cot(2 ) , so this limit is a 0 indeterminate form. A simple way to recast it would be to write it as the. 0 indeterminate form suitable for applying l"h opital"s rule. quotient lim. 1 tan(2 ) and this latter limit directly evaluates to 1. Note that it is also possible to rewrite the above limit as lim 0 form, and which we apply l"h opital"s rule to and get lim 0. Cos(2 ) sin(2 ) , which is also a 0. L"h opital"s rule is emphatically not called for here: direct evaluation gives 4. T+2 t2+16 (c) (4 points) lim x 0 cos x 1 x2 rule: Quiz #7 solutions: (10 points) evaluate the following limits: (a) (4 points) lim. Cot(2 ). (d) cos 0 1 = 0 and 02 = 0, so the above limit is a 0.
