f(x) =

c =

Acercar

Alejar

Este límite no cumple las hipótesis de la regla de L'Hôpital

c = 1
f(x) = (x^(2) - (3 * x) + 2) / (x - 1)
kdi = If(Defined[f(c + 1.0E-4)] ∧ Defined[f(c - 1.0E-4)] ∧ (abs(f(c + 1.0E-4) - f(c - 1.0E-4))  <  10), true, false)
k = Limit(f, c)
f1 = Textfield(f)
kt = If((abs(k)  <  10^(9)) ∧ Defined[k], k, If[kdi, round((100 * f(c + 1.0E-4))) / 100, If[Defined[k] ∧ (k > 0), Infinity, If[Defined[k] ∧ (k  <  0), -Infinity]]])
a = Textfield(c)
ki = If((abs(c) > 10^(9)) ∨ Defined[f(c - 1.0E-4)], true, false)
kd = If((abs(c) > 10^(9)) ∨ Defined[f(c + 1.0E-4)], true, false)
n = Numerator(f)
d = Denominator(f)
limD = Limit(d, c)
limN = Limit(n, c)
test1: limN ≟ 0 ∧ limD ≟ 0
test2: Limit[1 / n(x), c] ≟ 0 ∧ Limit[1 / d(x), c] ≟ 0
test3: test1 ∨ test2
n'(x) = n'(x)
d'(x) = d'(x)
k' = Limit(n'(x) / d'(x), c)
test: test3 ∧ Defined[k] ∧ Defined[k']
texto1: "\scalebox{1.6}{\lim_{ x \to " + (LaTeX[c]) + " }" + (LaTeX[f]) + "=\lim_{ x \to" + (LaTeX[c]) + " }\frac{" + (LaTeX[n']) + "}{" + (LaTeX[d']) + "} =" + (LaTeX[If[Defined[kt] ∧ kd ∧ ki, "" + kt, "indefinido"]]) + "}"
epsilon: 10^(-5)
A: (c + epsilon, f(c + epsilon))