Question

a_n is in R, c is in R, show
lim sup(a_n+c)=c+lim sup a_n

Answer 1

proof writing?

Answer 2

?

Answer 3

umm do you know how to verify something as a tautology without using a truth table?

Answer 4

im confused on how tho get started

Answer 5

I'm lost on my own question :(

Answer 6

this is not for your question, it's for mine :)

Answer 7

@eliassaab can u sho me ?

Answer 8

I can't read it because latex is showing up funky for some reason, but I think I figured it out, it just seems to easy

Answer 9

Yes, the rendering is not working. But you could put the code into:
http://www.codecogs.com/eqneditor

Answer 10

thanks

Answer 11

oh cool

Answer 12

sorry for going tagging you @e.mccormick earlier it was an accident.

Answer 13

np. Not like it was any big deal.

Answer 14

\[\Large
\sup_{i \ge k} (a_i+c)= c + \sup_{i \ge k} (a_i)
\]
Take the limit as k goes to Infinity and you are done.