can somebody solve this for me? thank you.

[brave laurel]

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[mossy belfry]

so have you tried direct evaluating

you can actually integrate the numerator
that also works
but i think there is an easier way

[steep thorn]

What about lhr?

[mossy belfry]

yeah thats what i was thinking

[steep thorn]

Lemme try

[mossy belfry]

you can also make it limit as x -> 0 and replace all the x-1's with x's

i think

makes it look a bit nicer

[steep thorn]

Yeah lhospital should work. I tried once, but still needs to differentiate. So probably twice would work

I see

Got it

[steep thorn]

Option d is correct here

Since the result just gives 0

[mossy belfry]

0 is different from DNE

are you sure

[steep thorn]

I mean 0 is not given in any option

So I assume it's d

[mossy belfry]

maybe the question is wrong

[mossy belfry]

integrates to 1/2sin(x^4)/(xsin(x))
~~
1/2x^4/(xx) = 1/2x^2 = 0
so youre right

[steep thorn]

Oh yeah

The options are wrong

The question is correct

[mossy belfry]

hm?

the options are corresponding to the wrong question you mean?

[steep thorn]

nono

If u choose any of the options here

It'd counted as a bonus and the marks would still be given

Even though it's the wrong option