Visual Calculus

Problem:
Investigate the behavior of the function

f(x) = sin(1/x)

for values of x near 0.

Visualization:

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    N          a + h/2^n       F(a + h/2^n)
   ----------------------------------------
    0        1.00000 000        0.84147 098
    1        0.50000 000        0.90929 743
    2        0.25000 000       -0.75680 250
    3        0.12500 000        0.98935 825
    4        0.06250 000       -0.28790 332
    5        0.03125 000        0.55142 668
    6        0.01562 500        0.92002 604
    7   7.81250 000 e-03        0.72103 771
    8   3.90625 000 e-03       -0.99920 803
    9   1.95312 500 e-03        0.07951 849
   10   9.76562 500 e-04       -0.15853 338

On the evidence of all values of  F  calculated so far,
we estimate  Lim  F(x) =  -2.08027 731
             x-蒼+

Press :
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This table was generated by Microcalc.

For this visualization, we have detailed instructions for the following software packages:

Microcalc