Let f(x) = {5x - 4, 0 < x ≤ 1, 4x^3 - 3x, 1 < x <2, Find lim(x→1) f(x)

Question

Let f(x) = \(\begin{cases} 5\text x-4, \quad 0<0\leq1 \\ 4\text x^3-3\text x, \quad1<\text x<2 \end{cases} \)

{5x - 4, 0 < x ≤ 1, 4x³ - 3x, 1 < x <2,

Find \(\lim\limits_{\text x \to0} \) f(x)

Answer 1

f(x) = \(\begin{cases} 5\text x-4, \quad 0<0\leq1 \\ 4\text x^3-3\text x, \quad1<\text x<2 \end{cases} \)

{5x - 4, 0 < x ≤ 1, 4x³ - 3x, 1 < x < 2

Left Hand Limit(L.H.L.):

Right Hand Limit(R.H.L.):