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1.Lim X → -infinity {X 4 sin(1/x) +X 2 ​} /{1+IXI 3 } =? 2.If f(x) is twicw differentiable function such that f(a)=0, f(b)=2, f(c)=-1, f(d)=2, f(e)=0, where a

1.Lim X→ -infinity {X4sin(1/x) +X​} /{1+IXI3} =?
2.If f(x) is twicw differentiable function such that f(a)=0, f(b)=2, f(c)=-1, f(d)=2, f(e)=0, where a

Grade:12th pass

1 Answers

Vikas TU
14149 Points
5 years ago
Hllo Lakshmi!

Since in your qstn x is tending to reach minus infinity,

the answer will be infinity.
Explaination: 
sin(1/x) range is betwn [-1,1] thus whatever ould be the limit it will give some finite value between -1 to 1.
Now if U think about x exponentials,
then degree/power in numerator is greater than in denominator.
and hence in such cases the the nswer is infinite.
hence even power is associated with numerator.

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