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Help me to understand this please.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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\[e^{x}\times \sin x \times -\cos x\]
Here is the graph of that function. http://tinyurl.com/4cazsvl As x approaches -infinity, sin and cos simply oscillate,while e^x approaches 0, which makes the limit 0. As x approaches infinity, e^x becomes extremely large, making the function oscillate wildly.
uh thanks one more thing what is the solutıon of the equation \[-\cos x \times \sin x = ?\]

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So you need to find solutions that cause sin(x) = 0 and cos(x) = 0 Sin(x) = 0 when x = pi * n Cos(x) = 0 when x = (pi/2) * n Combine the two, so every multiple of pi/2 = 0
thank you so much for your reply but what i ask is exactly this =>, for ex: \[e^{x}\times(-\sin x)\times(-\sin x) = e^{x}\times(\sin^{2}x)\] and what is: \[e^{x}\times(\sin x)\times(-\cos x) = ?\]
Well your first equation is an identity. The solutions to the second equation are exactly the same as what I posted above. I'm still not 100% are you asking for the roots?
yes i am asking for the roots for \[- \cos x \times \sin x =\] or \[-\sin x \times \cos x =\]
Okay then \[(\pi/2)*n\] n is any integer
thank you very much
You're welcome

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