|x-3| + |4-x| = 1 ; Find all possible values of x

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All possible values of x when |3x -4| = 11 are

\lim_{x \to a} \frac{x^{3} - a^{3}}{x - a} = \lim_{x \to 1} \frac{x^{4} - 1}{x - 1},

If ${lim}_{x \to a} \frac{x^{3} - a^{3}}{x - a} = {lim}_{x \to 1} \frac{x^{4} - 1}{x - 1}$ , find all possible values of a.

a

lim x \to a \frac{x^{3} - x^{3}}{x - a} = lim x \to 1 \frac{x^{4} - 1}{x - 1} .

lim x \to a \frac{x^{3} - a^{3}}{x - a} = lim x \to 1 \frac{x^{4} - 1}{x - 1}

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