Full text: Advanced calculus

INDETERMINATE FORMS 
211 
Remark. The Theorem can be extended to include the case that 
f'(x)/F'(x) becomes positively infinite or negatively infinite. The 
function f(x)/F(x) then becomes positively infinite or negatively 
infinite. 
Moreover, instead of approaching a from above, x may approach 
a from below, or x may become positively infinite or negatively 
infinite. 
EXERCISES 
Determine the following limits : 
1. lim
	        
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