Question #61e49

2 Answers
Jim S
Jan 21, 2018

#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)# enter image source here

Andrew I.
Jan 21, 2018

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.

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