LIMIT

limx→π/2 (sinx - sinxsinx)/(1-sinx+lnsinx)

12 Answers

29
govind ·

what is the exact question .\frac{sinx-(sinx)^{sinx}}{1-sinx + lnx}
or
\frac{sinx - sin(x)^{sinx}}{1- sinx + lnx}

For the first one i think the answer is 0..
dunno abt 2nd...

1
abcd ·

the answer will be 0 for the second one as well

1
avra ghosh ·

My ques is the 1st one.....How is it coming????

1
abcd ·

just place the value of x in the sum and you will get the ans my friend

it will come as 0/(a finite value)=0

1
utd4ever ·

dude just substitue pi/2 in place of x ul get it as o .. numerator becomes 0 divided by a real no. which is zero.....

1
avra ghosh ·

sorry i made a typing mistake the ques is lim x→pie/2 (sinx - sinxsinx)/(1-sinx+lnsinx).....

1
pgoklani ·

just put the value of x in function and u will get the answer

1
avra ghosh ·

0/0 form will come...

1
Maths Musing ·

L -- hospital gives ,

lim_\; {x\rightarrow \pi / 2}\frac{cosx\;-\;[\;{sinx^{sinx }\;cosx\;+\;sinx^{sinx}\;{\;log\;sinx\;} \;cosx}\;]}{1\;-\;cosx\;+\;cotx}\;}

Putting x = pi/2 yields the limit to be 0 / 1 or simply 0.

1
ronak agarwal ·

@ Michael --> u made a mistake while differentiating the denominator.....

1 will not be there (differentiation of a constant)

1
t2sif ·

is the answer infinity?????????

i got it by assuming sin x=t and putting lim t→1

1
avra ghosh ·

Michael actually there will be no 1 in the denominator.....Guys I have figured out the solution and the ans is 3..

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