{"result":{"text":"table attributes columnalign left end attributes row cell L e t space space C equals 1 plus fraction numerator cos x over denominator 3 end fraction plus fraction numerator cos 2 x over denominator 3 squared end fraction plus..... end cell row cell a n d space space S equals fraction numerator sin x over denominator 3 end fraction plus fraction numerator sin 2 x over denominator 3 squared end fraction plus..... end cell row cell rightwards double arrow C plus i S equals 1 plus e to the power of i x end exponent over 3 plus e to the power of 2 i x end exponent over 3 squared plus... end cell row cell rightwards double arrow C plus i s equals fraction numerator 1 over denominator 1 minus e to the power of i x end exponent over 3 end fraction equals fraction numerator 3 over denominator 3 minus cos x minus i sin x end fraction end cell row cell C o m p a r i n g space space r e a l space space p a r t s end cell row cell C equals fraction numerator 3 left parenthesis 3 minus cos x right parenthesis over denominator open parentheses 3 minus cos x close parentheses squared plus sin squared x end fraction rightwards double arrow C equals 1 open parentheses because cos x equals 1 third close parentheses end cell end table"},"status":"ok"}