limit as x approaches 3 of h(x)3x-1

Lösung

x \to 3 lim (h (x) 3 x - 1)

9 h (3) - 1

Schritte zur Lösung

x \to 3 lim (h (x) \cdot 3 x - 1)

Plug in the value

x = 3

, assuming the function is continuous at this point

= h (3) \cdot 3 \cdot 3 - 1

Vereinfache

= 9 h (3) - 1

x \to 3 lim (4 x^{2} - 7 x + 11)

x \to 3 lim (\frac{2 ^{x}}{x !})

x \to 3 lim (1 - x)

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

x \to 3 lim (\frac{1}{x - 1})