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Rooting For The Limit (Posted on 2008-04-23) Difficulty: 2 of 5
Evaluate:

Limit ((2y + 22y + 23y)/3)1/y
y → 0


Bonus Question:

Work out the following limit:

Limit ((2y + 6y + 18y)/3)1/y
y → 0


See The Solution Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts computer exploration (possible spoiler) | Comment 1 of 6

Programs like

10   Y=1
20   for I=1 to 150
30    V=((2^Y+4^Y+8^Y)/3)^(1/Y)
40    print "    ";Y,1/Y,V
50    Y=Y/2
60   next

and

10   Y=1
20   for I=1 to 150
30    V=((2^Y+6^Y+18^Y)/3)^(1/Y)
40    print "    ";Y,1/Y,V
50    Y=Y/2
60   next

using the extended precision of UBASIC,

make it seem the respective answers are 4 and 6.


  Posted by Charlie on 2008-04-23 11:36:44
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