Uma das formas eCalcular o begin mathsize 12px style limit as x rightwards arrow negative 1 of space fraction numerator 1 over denominator square r...

{"choice": "c", "explanation": "Para calcular o limite da fração dado por begin mathsize 12px style limit as x rightwards arrow negative 1 of space fraction numerator 1 over denominator square root of 2 minus x end root end fraction end style, podemos substituir o valor de x pelo valor do limite, que é -1. Assim, temos: begin mathsize 12px style limit as x rightwards arrow negative 1 of space fraction numerator 1 over denominator square root of 2 minus x end root end fraction end style = begin mathsize 12px style fraction numerator 1 over denominator square root of 2 minus negative 1 end fraction end style = begin mathsize 12px style fraction numerator 1 over denominator square root of 3 end fraction end style = begin mathsize 12px style fraction numerator 1 end fraction denominator 3 end fraction end style. Podemos simplificar essa fração para obter uma expressão equivalente: begin mathsize 12px style fraction numerator 1 end fraction denominator 3 end fraction = begin mathsize 12px style fraction numerator 1 minus 3 times left parenthesis x minus 1 right parenthesis end fraction denominator x plus 1 end fraction end style. Portanto, a expressão equivalente da fração é begin mathsize 12px style fraction numerator 1 minus 3 times left parenthesis x minus 1 right parenthesis end fraction denominator x plus 1 end fraction end style. A opção que indica essa expressão é a letra c, begin mathsize 12px style negative space left parenthesis x space minus space 1 right parenthesis end style."}