Question

Y = e^x + sinx / e^x

Answer 1

Честно, не очень понял что нужно найти, но если надо просто решение➣

y = e^x + sin(x) / e^x

y = e^0 + sin(0) / e^0

y = 1

Answer 2

The expression Y = (e^x + sin(x)) / e^x can be simplified by dividing both terms in the numerator by e^x:

Y = (e^x / e^x + sin(x) / e^x)

e^x / e^x simplifies to 1, so the expression becomes:

Y = (1 + sin(x) / e^x)

Now, depending on what you want to do with this expression, you can leave it as is or further simplify it. If you'd like to simplify it even more, you can use the fact that sin(x) / e^x is a rapidly decreasing function as x becomes large (approaches infinity). Therefore, as x gets very large, sin(x) / e^x approaches 0. So, for large values of x:

Y ≈ 1 + 0

Y ≈ 1

So, as x approaches infinity, the value of Y approaches 1.