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Choose the correct or the most suitable answer from the given four alternatives.
`lim_(xrarr0)(sinx)/x`

A

1

B

0

C

`infty`

D

`-infty`

Text Solution

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The correct Answer is:
A
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PREMIERS PUBLISHERS-DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY-SOLUTION TO EXERCISE 9.6
  1. Choose the correct or the most suitable answer from the given four alt...

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  2. Choose the correct or the most suitable answer from the given four alt...

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  3. Choose the correct or the most suitable answer from the given four alt...

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  4. Choose the correct or the most suitable answer from the given four alt...

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  5. Choose the correct or the most suitable answer from the given four alt...

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  6. Choose the correct or the most suitable answer from the given four alt...

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  7. Choose the correct or the most suitable answer from the given four alt...

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  8. Choose the correct or the most suitable answer from the given four alt...

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  9. If f(x)=x(-1)[1/x]xle0, then the value of lim(xto0)f(x) is equal to

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  10. Choose the correct or the most suitable answer from the given four alt...

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  11. Let the function f be defined by f(x)={(3x0lexle1),(-3x+51ltxle2):}, t...

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  12. If f:R rarr R is defined by f(x)= floor(x-3)+|x+4| for xepsilonR,then ...

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  13. lim(xrarr0)(xe^x -sin2x)/x is :

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  14. If lim(xto0)(sinpx)/(tan3x)=4, then the value of p is

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  15. lim(alphato pi/4)(sinalpha-cosalpha)/(alpha-pi/4) is

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  16. Choose the correct or the most suitable answer from the given four alt...

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  17. Choose the correct or the most suitable answer from the given four alt...

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  18. lim(xto0)(e^(tanx)-e^(x))/(tanx-x)=

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  19. The value of lim(xto0)sinx/sqrtx is

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  20. The value of lim(xtok^(-))x-[x], where k is an integer

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