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.lim and \lim \limits_{ x \to −1^+}\dfrac{| x+1 |}{x+1}=\dfrac{(x+1)}{(x+1)}=1; since the right-hand limit does not equal the left-hand limit, \lim \limits_{ x \to −1}\dfrac{|x+1|}{x+1} does not exist.
