1. ## Limit help

lim x apraoches 0+ ((1/sinx)-lnx)

Soo we know this is a infinity-infinity question which we use L'hopitals rule . Now accordng to LHR, we have to find a common denomintaor, rationalize, or factor ou a commn facor to have it in the form 0/0 or inifitiy/infinity.
This is where i got stuck. What can i possibly do to this equation to put it in the inderterminate form?

2. Its infinity + infinity = infinity
Not infinity - infinity

3. Originally Posted by General
Its infinity + infinity = infinity
Not infinity - infinity
What is " infinity + infinity = infinity"?
The question or LHR? Becuase accroding to my textbook if its infinity-infinity then you have intermediate differences and you then use LHR. Says nothing about the addition

4. Originally Posted by kensington
What is " infinity + infinity = infinity"?
The question or LHR? Becuase accroding to my textbook if its infinity-infinity then you have intermediate differences and you then use LHR. Says nothing about the addition
It is obvious that infinity plus infinity is infinity, the question on the other hand has a minus sign where its (1/sinx)-lnx, unless i did something rong

5. Originally Posted by kensington
It is obvious that infinity plus infinity is infinity, the question on the other hand has a minus sign where its (1/sinx)-lnx, unless i did something rong
$\ln{x} \to -\infty$ as $x \to 0^+$