EXAMPLES OF INDETERMINATE FORMS. 



145 



28. (a* - 1) x, 



29. (- 



30. 



= oo , 



= 00 . 



i* sin TI# n" sin ?na; (1) # = 0. 



(1) 



Result log a. 

 Result e". 



1. 



31. 



32. 



tan nx tan mx (2) m = n. 



(2) Result n*" 1 (w cos wo; sin n#) cos 2 nx. 

 1 



/taha?\* 



oo. i i , 



\ x J 



34. 



/tan af\ 



; ' 



n 



35.- (cos wza;)^, 



2L 



36. (cos wa;)* 2 



37. ( 

 38. 



39. 

 40. 

 41. 

 42. 



</2 sinarcojsa; 



log sin 2a; 

 T. D. C. 



X = 00 



= 0. 



= 0. 



7T 



7T 



Result 1. 

 Result 1. 

 Result e*. 



Result oo . 

 1. 



.Seswft 0. 

 Result 2. 



- f . 



Result 1. 

 Result 1. 



, 



2V2 



