Calculation: |(1/3)-(1/2)|+|(1/4)-(1/3)|+|(1/5)-(1/4)|+…+|(1/ 2008)-(1/2007)|
计算：|(1/3)-(1/2)|+|(1/4)-(1/3)|+|(1/5)-(1/4)|+…+|(1/2008)-(1/2007)|
<gadget id="calculator">3 / 1</gadget>
<output>3</output>

<gadget id="calculator">2 / 1</gadget>
<output>2</output>

<gadget id="calculator">3 - 2</gadget>
<output>1</output>

<gadget id="calculator">4 / 1</gadget>
<output>4</output>

<gadget id="calculator">4 - 3</gadget>
<output>1</output>

<gadget id="calculator">5 / 1</gadget>
<output>5</output>

<gadget id="calculator">5 - 4</gadget>
<output>1</output>

<gadget id="calculator">2_008 / 1</gadget>
<output>2_008</output>

<gadget id="calculator">2_007 / 1</gadget>
<output>2_007</output>

<gadget id="calculator">2_008 - 2_007</gadget>
<output>1</output>

<gadget id="calculator">1 / 2_008</gadget>
<output>1/2_008 = around 0.000498</output>

<gadget id="calculator">1 - (1/2_008)</gadget>
<output>2_007/2_008 = around 0.999502</output>

<result>2_007/2_008 = around 0.999502</result>