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1225 (0)

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lim    1-sin+cos+log(1-X)/X*X*X
x0
    
subs (79)

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infinity!!

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nunoxic (1460)

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Use L-Hopitals
- cos x - sin x - 1/ [1-x] by 3x^2
sin x - cos x - 1/[1-x]^2 by 6x
cos x + sin x - 2 / [1-x]^3 by 6
Substitute Values
1 + 0 - 2 by 6
-1 / 6

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nunoxic (1460)

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Use L-Hopitals
- cos x - sin x - 1/ [1-x] by 3x^2
sin x - cos x - 1/[1-x]^2 by 6x
cos x + sin x - 2 / [1-x]^3 by 6
Substitute Values
1 + 0 - 2 by 6
-1 / 6

I May Have Been Wrong......Please Temme If I Am

Sometimes One Dream Is Enough To Light Up The Entire October Sky....

First Year Mechanical Engineering
Veermata Jijabai Technological Institute
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edison (4912)

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you are absolutely right Mr.nunoxic.
 
The expression is not rigthly written it should be
 
lim    [ 1-sinx+cosx+log(1-x) ] / x3
x0
 
Just apply L-hospitals rule to derive the value of the limit, it comes out to be -1/6

The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
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