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Evaluate the below given limit.
Solution
Note as well that we actually do have to do the right-hand limit here. We know that the natural logarithm is just described for positive x and thus it is the only limit that makes any sense.
Now, in the limit, we obtain the indeterminate form (0) (-∞). L'Hospital's Rule won't apply on products, it works on quotients only. Though, we can turn it into a fraction if we rewrite things a little.
The function is the similar, just rewritten, & now the limit is in the form -∞ /∞ and now we can utilizes L'Hospital's Rule.
Now, it is a mess, however it cleans up nicely.
Now let's take a look at the indeterminate forms,
1∞ 00 ∞0
These can all be dealt with in the given way therefore we'll just work one example.
SOLVE AND GRAPH THE PARABOLA NOTE: WRITE YOUR SOLUTIONS AND COMPLETE EQUATION OF GRAPH SPOINTS EACH 1. V(0,0) (0.2) P-2 2. V(0,0) E-5,0) P=-5 3. V(4-3) F(4,-2) P=1 4. V-1,5)
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Determine an actual explicit solution to y′ = t/y; y(2) = -1. Solution : We already identify by the previous illustration that an implicit solution to this IVP is y 2 = t 2 -
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