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Lim x→-∞ x 4 sin(1/x) + x 2 / 1 + ¦x¦ 3 ←( mod x ) 3 equals :

Limx→-∞ x4 sin(1/x) + x2 / 1 + ¦x¦3   ←( mod x )3 equals :

Grade:Upto college level

1 Answers

Anurag Kishore
37 Points
11 years ago

Hi

I will take the question as

limx→-∞  x4 sin1/x + x2

            ______________

              1+ (mod x)3

 

as x→-∞  so mod x = - x

put y = 1/x

lim y->0 siny/y4 + 1/y2

            ----------------

             1 - 1/y3

Multiply num and denom by y3

limy-> 0 (siny/y - y)/(y3-1) = -1

 

 

 

Thanks

Anurag Kishore

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