"!" Indicates an operation symbol, and its meaning is 2! =2*1; 3! =3*2*1;... Find (1/2)*2! +(2/3)*3+(3/4)*4! +...+(8/9)*9!
"！"表示一种运算符号，它的含义是2！=2*1；3！=3*2*1；…求(1/2)*2！+(2/3)*3+(3/4)*4！+…+(8/9)*9！
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">(1/2) * 2 * 1</gadget>
<output>1</output>

<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">(2/3) * 3</gadget>
<output>2</output>

<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">(3/4) * 4 * 3 * 2 * 1</gadget>
<output>18</output>

<gadget id="calculator">(3/4) * 4</gadget>
<output>3</output>

<gadget id="calculator">2 + 3</gadget>
<output>5</output>

<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">(4/5) * 5 * 4 * 3 * 2 * 1</gadget>
<output>96</output>

<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>

<gadget id="calculator">(5/6) * 6 * 5 * 4 * 3 * 2 * 1</gadget>
<output>600</output>

<gadget id="calculator">6 / 7</gadget>
<output>6/7 = around 0.857143</output>

<gadget id="calculator">(6/7) * 7 * 6 * 5 * 4 * 3 * 2 * 1</gadget>
<output>4_320</output>

<gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>

<gadget id="calculator">(7/8) * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1</gadget>
<output>35_280</output>

<gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>

<gadget id="calculator">(8/9) * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1</gadget>
<output>322_560</output>

<gadget id="calculator">1 + 2 + 18 + 96 + 600 + 4_320 + 35_280 + 322_560</gadget>
<output>362_877</output>

<result>362_877</result>