let x =tan-1(1/10)+tan-1(1/9)+up to +tan-1(1)+tan-1(2)+up to+tan​-1(10)+tan-1​​​(11). find the value of x.

Dear Student, x = tan-1110+tan-119+....+tan-11+tan-12+.......+tan-110+tan-111=tan-1110+tan-110+tan-119+tan-19+......+2tan-11+tan-111=cot-110+tan-110+cot-19+tan-19+....9 pairs..+2tan-11+tan-111=9×π2+π2+tan-111=5π+tan-111regards

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