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in numerator first term is e raise to power integral part of x ….....please explain anyone please ...please...

in numerator first term is e raise to power integral part of x ….....please explain anyone please ...please...

Question Image
Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
7 years ago
Ans:
Hello Student,
Please find answer to your question below

f(x) = \frac{e^{[x]} - e^{-x}}{e^{x}+e^{-x}}
If it is e raise to power integral part of x, then
f(0) = \frac{e^{[0]} - e^{-0}}{e^{0}+e^{-0}}
f(0) = \frac{1 - 1}{1+1}
f(0) = 0
f(-1) = \frac{e^{[-1]} - e^{-(-1)}}{e^{-1}+e^{-(-1)}}
f(-1) = \frac{e^{-1} - e^{1}}{e^{-1}+e^{1}}
f(-1) = \frac{e^{-1} - e}{e^{-1}+e}
Its not equal to zero.
So there is something wrong with the question or solution you upload.
Please check it again.


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