Use continuity to evaluate the limit. (Round your answer to three decimal places.)

lim
x→5
arctan

x^2 − 25/5x^2 − 25x

Question

Use continuity to evaluate the limit. (Round your answer to three decimal places.)
 
lim 
x→5 
arctan

x^2 − 25/5x^2 − 25x

jim_thompson5910 · Answer

so it's arctan of that whole fraction?

anonymous · Answer

yes

jim_thompson5910 · Answer

are you able to factor x^2 - 25 ?

anonymous · Answer

I did but when I get to finding arctan I get confused

jim_thompson5910 · Answer

what do you get when you simplify the whole fraction ?

anonymous · Answer

arctan [(x+5)/5x] 
Then I plug in 5 and get arctan 10/25 but my decimal seems to be wrong

jim_thompson5910 · Answer

I'm assuming they want the answer in radian mode

jim_thompson5910 · Answer

10/25 = 0.4

arctan(0.4) = 0.38050637711237 radians

anonymous · Answer

Thank you so much that was the right answer. I am not to great at cos, sin and tan things.

jim_thompson5910 · Answer

what kind of calculator do you have?