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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