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Question

If (x)=13(f(x+1)+5f(x+2)) and f(x)>0 for all xϵR, then limxf(x) is

A
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C
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Solution

The correct option is A
limxf(x)=limxf(x+1)=limxf(x+2)=λ(say)then λ=13(λ+5λ)2λ=5λλ=52 (f(x)>0)limxf(x)=52

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