- #1

janac

- 9

- 0

I understand that the harmonic series, [itex]\frac{1}{x}[/itex] is divergent because:

[itex]\int (1/x) [/itex]

from one to infinity is:

[ln(infinity) - ln(1)]

which is clearly divergent.

BUT

When I look at the graph of [itex]\frac{1}{x}[/itex] versus [itex]\frac{1}{x^{2}}[/itex]

they both look like they are converging to zero as

x approaches infinity.

Whats the deal?

[itex]\int (1/x) [/itex]

from one to infinity is:

[ln(infinity) - ln(1)]

which is clearly divergent.

BUT

When I look at the graph of [itex]\frac{1}{x}[/itex] versus [itex]\frac{1}{x^{2}}[/itex]

they both look like they are converging to zero as

x approaches infinity.

Whats the deal?

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