EXAMPLES OF INDETEKMINATE FOKMS. 147 



2. 

 56. v f , x = x . Result \. 



r 



57. (%*)* + d^i!, .!. SesuU l. 



Sin* (a? 1) 



58. Shew that when x is infinite - is infinite or zero, 



6* 



according as m is greater or less than n ; a and 5 being 

 both greater than unity. 



59. Shew that when x is infinite 



x-x og ^ - j - - . 



60. If M VO) = tan' 1 ~~ + log fe + A /f 1 + ) [ , shew 



\I I \l G \/ V C / ) 



V \" T> / 



that w = and -=- = ;, when x = ; and that u = 



c aa; 2c 



and -y- = when x = oo . 

 aa; 



L2 



