• Support PF! Buy your school textbooks, materials and every day products Here!

Limit arctg (x)

  • Thread starter Jalo
  • Start date
  • #1
120
0

Homework Statement



I need help solving this limit. If anyone coud«ld help i'd be grateful
263jb0h.jpg


Homework Equations





The Attempt at a Solution



I have no idea how to solve the indetermination...
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,258
618
Did you try l'Hopital's rule?
 
  • #3
120
0
Did you try l'Hopital's rule?
This is a problem for calculus 1, i'm not familiarized with l'Hospital's rule :\
 
  • #4
Dick
Science Advisor
Homework Helper
26,258
618
This is a problem for calculus 1, i'm not familiarized with l'Hospital's rule :\
Do you have any inequalities concerning arctan you can use? Something like 0<=arctan(u)<=u for u=>0?
 
Last edited:
  • #5
120
0
Do you have any inequalities concerning arctan you can use? Something like -u<=arctan(u)<=u?
All i've been given was the limit above. I'm supposed to know what's his limit when x tends to zero
 
  • #6
Dick
Science Advisor
Homework Helper
26,258
618
All i've been given was the limit above. I'm supposed to know what's his limit when x tends to zero
You have know something about the arctan function to solve it. Can you solve it with the inequality I gave you in the last post? BTW I was sloppy and wrote it incorrectly. I fixed it.
 
  • #8
Dick
Science Advisor
Homework Helper
26,258
618
Top