Question: Having Trouble with Factorial inequality

I am trying to solve a factorial inequality.

solve(1/(n+1)! * exp(0.1)<=0.00001)

I get no result and a warning, "some solutions may have been lost".

Also same problem with the simpler inequality

solve(1/(n+1)! <=0.00001)

Wolfram has no problem solving it.

Am I entering it wrong? I attached a copy of my worksheet.


The problem came up when solving this problem: What degree of the maclaurin polynomial  is required so that the error in the approximation of e0.1 is less than 0.00001

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