find the limit

Question

lim       (8)/(xcot5x)=?

x→0  

Answer 1

Jason,

 

    Recalling that cot(5x) =1/(tan(5x) the above can be written as 8tan(5x)/x, Now you can approximate tan 5x as 5x for small x so the limit as x→0 is 8*5=40

 

Hope this helps

 

Jim