146 



EXAMPLES OF INDETERMINATE FO11MS. 



43. V(a'-* ! ). cot 



(2 



44. (1 x) tan , 



__ 



45. a; 1 ' 1 , 



46. a?*" , 



- , 

 + avj 



x = \. 



x = 1. 



a; = 0. 



= a. Result*-. 



Result - . 



7T 



sec 



47. 



, . 



log (1 -#) 



i 

 48. (Ax m +Sx m ~ 1 ...+Mx + N)*, a = 



1 2 



IJ> g 



Result 0. 



Result oc . 

 Result I. 





50 - 



cos x^ cos ad 



52. 

 58. 



1-B\ 



- J 



e ' 



, . 



tan a; a; 



e 1 sin a; e" (sin a + V'2 (a; a) cos (a ^ 

 - -=. - , - : 

 e e e(x+l d) 





Result i. 



= a. 



i i 

 54. f^^"* 



Result 2 cos a. 



X 



, x = oo . Result djCL^ ...a n . 



5o. 



(.T + sin x 4 sm i-a?) 

 75- f V 



(3 + cos a; - 4 cos %xy 



128 

 - . 

 81 



