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What is lim(xto0) e^((1)/(x^(2))) equal ...

What is `lim_(xto0) e^((1)/(x^(2)))` equal to?

A

0

B

1

C

`-1`

D

Limit does not exist

Text Solution

Verified by Experts

The correct Answer is:
A
`underset(xto0)lime^((1)/(x^(2)))=e^((-1)/(0))=e^(-oo)=0`
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NDA PREVIOUS YEARS-FUNCTIONS, LIMIT, CONTINUITY AND DIFFERENTIABILITY-MCQs
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  2. If lim(xto0) phi(x)=a^(2), where ane0, then what is lim(xto0) phi((x)/...

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  3. What is lim(xto0) e^((1)/(x^(2))) equal to?

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  5. Consider the following in respect of the function f(x)={{:(2+x","xge...

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  6. Let f:A->R, where A=R\ {0} is such that f(x)=(x+|x|)/x On which one o...

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  8. Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| ...

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  9. Let f(x)=[x], where [.] is the greatest integer function and g(x)=sinx...

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  10. Let f(x)=[x], where [.] is the greatest integer function and g(x)=sinx...

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  11. Let f(x)=[x], where [.] is the greatest integer function and g(x)=sinx...

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  12. Let f(x)={{:((e^(x)-1)/(x)",",xgt0),(0",",x=0):} be a real valued func...

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  13. Let f(x)={{:((e^(x)-1)/(x)",",xgt0),(0",",x=0):} be a real valued func...

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  14. Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| ...

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  15. Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| ...

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  16. Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| ...

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  17. What is lim(xto0)(e^(x)-(1+x))/(x^(2)) equal to?

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  18. The function f:XtoY defined by f(x)=cosx where x""inX, is one-one and ...

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  19. If f(x)=(x)/(x-1), then what is (f(a))/(f(a+1)) equal to?

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  20. Let f:[-6,6]toR be defined by f(x)=x^(2)-3. Consider the following : ...

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