27) Based on the pattern you observed in the exercises above, make a conjecture as to the limit of f(x)=(1+x)6x,g(x)=(1+x)7x, and h(x)=(1+x)nx. \(\lim \lim...27) Based on the pattern you observed in the exercises above, make a conjecture as to the limit of f(x)=(1+x)6x,g(x)=(1+x)7x, and h(x)=(1+x)nx.limx→−1−|x+1|x+1=−(x+1)(x+1)=−1 and limx→−1+|x+1|x+1=(x+1)(x+1)=1; since the right-hand limit does not equal the left-hand limit, limx→−1|x+1|x+1 does not exist.
