Find the limit...........
Attachments:
Anonymous:
Fast
Answers
Answered by
2
I have reduced it in very short profile... SO, consider it as a direct application of limits. HOPEFULLY , YOU'LL BE CONFIGURED.
Attachments:
thank you...:)
MY PLEASURE :)
XD
XD
Answered by
3
Limit is in the form of 0.∞
Lt(x→∞) 5^x .sin(a/5^x)
Lt(x→∞) sin(a/5^x)/(1/5^x)
now Limit in the form of 0/0
use, L- hospital rule ,
Lt(x→∞) cos(a/5^x)×a (-5^-xlog5)/(-5^-x.logx)
= a × 1 = a
Lt(x→∞) 5^x .sin(a/5^x)
Lt(x→∞) sin(a/5^x)/(1/5^x)
now Limit in the form of 0/0
use, L- hospital rule ,
Lt(x→∞) cos(a/5^x)×a (-5^-xlog5)/(-5^-x.logx)
= a × 1 = a
Similar questions