(i) underset(xrarr0)"lim"(x tan 4x)/(1-c...

(i) `underset(xrarr0)"lim"(x tan 4x)/(1-cos 4x) `
(ii) `underset(yrarr0)"lim"((x+y)sec(x+y)-x sec x)/(y )`

A

`sec x(x tan x+1)`

B

`x tan x+sec x`

C

`x sec x+tan x`

D

None of these

Text Solution

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The correct Answer is:

A

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Knowledge Check

If l = underset( x rarr 0) ("Lim")( x ( 1+ a cos x ) - bsin x ) /( x^(3))= underset( x rarr 0 ) ("Lim") ( 1+a cos x ) /( x^(2))- underset( x rarr 0 ) ("lim")( b sin x )/( x^(3)) , where l in R , then

A

` ( a, b ) = ( -1,0)`

B

a & b are nay real numbers

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l = 0

D

`l = ( 1)/( 2)`

underset( x rarroo ) ("lim") sec^(-1) ((x)/( x+1)) =

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0

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D

does not exist

lim_(xrarr0) (xtan2x -2x tan x)/((1-cos 2x)^2) , is

A

2

B

-2

C

`1//2`

D

`-1//2`

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DISHA PUBLICATION-LIMITS AND DERIVATIVES-Exercise- 1 : Concept Builder (Topic 2)

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