Question 1017798
.
evaluate the limit using the squeeze therom

lim x->0+   sqrtx e^sin(pi/x)
-------------------------------------


{{{sqrt(x*e^(-1))}}} <= {{{sqrt(x*e^(sin(pi/x)))}}} <= {{{sqrt(x*e^1)}}}


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{{{graph( 330, 330, -1.5, 2.5, -1.5, 4.5,
          sqrt(x*e^(sin(pi/x))), sqrt(x*e^1), sqrt(x*e^(-1))
)}}}


<B>Figure</B>. Plots {{{sqrt(x*e^(-1))}}} (blue), {{{sqrt(x*e^(sin(pi/x)))}}} (red) and {{{sqrt(x*e^1)}}} (green)

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