Question

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

lim
x→5
arctan

x^2 − 25/5x^2 − 25x

Answer 1

so it's arctan of that whole fraction?

Answer 2

yes

Answer 3

are you able to factor x^2 - 25 ?

Answer 4

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

Answer 5

what do you get when you simplify the whole fraction ?

Answer 6

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

Answer 7

I'm assuming they want the answer in radian mode

Answer 8

10/25 = 0.4

arctan(0.4) = 0.38050637711237 radians

Answer 9

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

Answer 10

what kind of calculator do you have?