AP Calculus AB - L'Hôpital's Rule- 7 Questions

1. Evaluate the limit lim(x -> 0) [(sin(x))/(x)].

 

 
 
 
 

2. Evaluate the limit lim(x -> ∞) [(x^2)/(e^x)].

 

 
 
 
 

3. Evaluate the limit lim(x -> ∞) [(ln(x))/(x^2)].

 

 
 
 
 

4. Evaluate the limit lim(x -> 1) [(x – 1)/(ln(x))].

 

 
 
 
 

5. Evaluate the limit lim(x -> 0) [(e^x – 1)/(sin(x))].

 

 
 
 
 

6. Evaluate the limit lim(x -> ∞) [(x – ln(x))/(x)].

 

 
 
 
 

7. Evaluate the limit lim(x -> π/2) [(cos(x))/(1 – sin(x))].

 

 
 
 
 

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