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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.
Solve 5x tan (8x ) =3x . Solution : Firstly, before we even begin solving we have to make one thing clear. DO NOT CANCEL AN x FROM BOTH SIDES!!! Whereas this may appear like
2/3 divided 22 hours
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