limit as x approaches 0 of ((x-2))/(x^4)

الحلّ

x \to 0 lim (\frac{( x - 2 )}{x ^{4}})

- \infty

خطوات الحلّ

x \to 0 lim (\frac{x - 2}{x ^{4}})

x \to a lim f (x) = L :

إذًا

x \to a - lim f (x) = x \to a + lim f (x) = L

إذا تحقّق أنّ

x \to 0 - lim (\frac{x - 2}{x ^{4}}) = - \infty

x \to 0 + lim (\frac{x - 2}{x ^{4}}) = - \infty

= - \infty

x \to 2 lim (\frac{[ x ]}{x})

x \to 1 lim (3 x^{2} + 4 x)

x \to 0 lim (\frac{e ^{t x} - 1}{x})

x \to \frac{π}{2} lim (\frac{( cot ^{2} ( x ) )}{1 - sin ( x )})

x \to c lim (e^{x})