n → ∞ lim g ( 1 0 ( 4 + 1 4 ) n ) f ( 5 ( 4 + 1 5 ) n )
Let f ( x ) and g ( x ) be two periodic functions with fundamental periods of 5 and 10 respectively. Given that x → 0 lim x f ( x ) = x → 0 lim x g ( x ) = k for some positive constant k . Find the value of the limit above for positive integer n .
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Can you write a solution that is helpful to those who cannot solve it? Else I'm inclined to delete this solution to encourage others to contribute a relevant answer- \box S T A F F
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it would be useful to analyse what the fractional parts of both the binomial expansions in numerator and denominator will be
u do this and the next steps will be done all by themselves :P