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