limit

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lim nâ†’âˆž (aⁿ + bⁿ)^(1/n)

#Mathematics #Calculus

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6 Answers

1

nonny chadda ·2010-12-24 06:51:09

a

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21

Shubhodip ·2010-12-24 07:34:35

given that b>a>0

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1

pandit ·2010-12-24 09:20:16

then its a+b

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1

souradeepmajumde majumder ·2010-12-24 10:20:51

ANS IS B.............

STEPS
TAKE b^n common . it comes out as b.
b(1+a/b^n)^1/n

since b>a then a/b fraction. its ^nbecomes 0......... so ans is b(1+0)

that is b

THANKS SOURADEEP MAJUMDER

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21

Shubhodip ·2010-12-24 11:02:27

@souradeep
take a^n common answer will be A....:)

though i also think it will be B

my method is

{bⁿ}(1/n)<(aⁿ+bⁿ)<{2(b)ⁿ}(1/n)

from squeeze thorem it is b

but i dnt hv answer...

got the stuff on net..

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souradeepmajumde majumder ·2010-12-26 00:14:20

@ SHUBHODIP

B>A THEN IF YOU COMMON A^N THEN B/A IS GREATER THAN 1 THAT TO THE POWER INFINITE IS INFINITE.......

THANKS SOURADEEP MAJUMDER

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Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

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° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω