1.Lim X→ -infinity {X4sin(1/x) +X2 } /{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

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Grade 12th passDifferential Calculus

1.Lim X→ -infinity {X⁴sin(1/x) +X²} /{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

Lakshmee Sarvani

10 Years agoGrade 12th pass

1 Answer

Vikas TU

10 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.