Question

Question #61e49

Answer 1

`e^x>0` , `x` `in` `RR`

Explanation:

Impossible. `e^x` has no solutions.

`e^x>0` for each `x` `in` `RR`

Graph of `e^(1/x^2)`

Answer 2

There is no solution.

Explanation:

You could start with:

`e^(1/x^2)=0`

`-> 1/x^2=ln(0)`

`-> x = sqrt(ln(0)`

Of course you run into the problem of: `ln(0)` which does not have a value (it is undefined). So in effect, we will not find a value of `x`.

If you plot the graph of the function: graph{e^(1/x^2) [-9.58, 9.78, -2.59, 7.09]}

we can see the function asymptotically approaches `1`. More to the point it never crosses `y=0` so there does not exist any value of `x` for which the equation is satisfied.