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Find the value of a if,lim(xto0)(tanax)/...

Find the value of a if,`lim_(xto0)(tanax)/(sin2x)=1`

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`lim_(xto0)(tanax)/(sin2x)=1`
`implieslim_(xto0)((tanax)/(ax)xxa)/((sin2x)/(2x)xx2)=1`
`a/2=1impliesa=2`
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MBD PUBLICATION-LIMIT AND DIFFERENTIATION-QUESTION BANK
  1. Examine the existence of the following limits:lim(xto0)1/(e^(1/x)-1)

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  2. Find the value of a if, lim(xtoalpha)(tana(x-alpha))/(x-alpha)=1/2

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  3. Find the value of a if,lim(xto0)(tanax)/(sin2x)=1

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  4. Find the value of a if,lim(xto0)(e^(ax)-e^x)/x=2

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  5. Find the value of a if,lim(xto1)(5^x-5)/((x-1)logea)=5

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  6. Find the value of a if,lim(xto2)loge(2x-3)/(a(x-2))=1

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  9. Find the derivative of the following functions 'ab initio', that is, u...

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  12. Find the derivative of the following functions 'ab initio', that is, u...

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  15. Find the derivative of the following functions 'ab initio', that is, u...

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  17. Find the derivative of the following functions 'ab initio', that is, u...

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  18. Find the derivative of the following functions 'ab initio', that is, u...

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  19. Find the derivative of the following functions 'ab initio', that is, u...

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  20. Find the derivative of the following functions from definition at the ...

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