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Infinite Limits : In this section we will see limits whose value is infinity or minus infinity.
The primary thing we have to probably do here is to define just what we mean while we say that a limit contain a value of infinity or minus infinity.
Definition
We say
If we make f(x) arbitrarily large for all x adequately close to x=a, from both of the sides, without in fact letting x = a .
if we can make f(x) arbitrarily large & negative for all x adequately close to x=a, from both of the sides, without letting x= a actually.
These definitions can be modified appropriately for the one-sided limits as well.
Let's start off with a typical example showing infinite limits.
How do I do a two-step problem?
In the shape of a cone a tank of water is leaking water at a constant rate of 2 ft 3 /hour . The base radius of the tank is equal to 5 ft and the height of the tank is 14 ft.
Let a, b, c 2 Z + . (a) Prove that if a|b, then ac|bc for all c. (b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.
about scalene,equilateral and isosceles.
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Substitution Rule for Definite Integrals Now we need to go back and revisit the substitution rule as it also applies to definite integrals. At some level there actually isn't
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