Question

Lim x-> ∞ (sinh(x)/e^x)

Answer 1

Refer to the attached photo.

Answer 2

Answer:
`\lim_(x \to \infty) ((sinh(x))/(e^x))`
`= 0`

Explanation:

`\lim_(x \to \infty) ((sinh(x))/(e^x))`

`\lim_(n \to \infty) (sinh(\infty))/(e^(\infty))`

As x approaches infinity, the exponential term e^x becomes much larger than the hyperbolic sine function sinh(x), so the entire expression sinh(x)/e^x becomes very close to zero.

Therefore, the limit of the expression as x approaches infinity is 0: