Clarke Cole
08/10/2024 · Middle School
\( F(x)=-4 x^{2}+5 \) Hallar \( F(x+h \) \( -4(x+h)^{2}+5 \) \( -4\left(x^{2}+2 \cdot x \cdot h+h^{2}\right)+5 \) \( -4 x^{2}-8 \cdot x \cdot h-4 h^{2}+5 \) Hallar \( -F(x) \) \( \quad+4 x^{2}-5 \) juntamog \( 1 y^{2} \) \( -4 x^{2}-8 \cdot x \cdot h-4 h^{2}+5+4 x^{2}-5 \) \( -8 \cdot x \cdot h-4 h^{2} \) Dividimos por \( h \) \( \frac{-8 \cdot x \cdot h-4 h^{2}}{h}=-8 \cdot x \cdot-4 h \) Hallar el limite -8.x. \( -4 h \) - \( 8 \cdot x-4(0) \) - \( 8 x \)
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Tutor-Verified Answer
Step-by-step Solution
Para encontrar el límite de la expresión \( \frac{-8xh-4h^2}{h} \) cuando \( h \) tiende a 0, primero simplificamos la expresión:
\[
\frac{-8xh-4h^2}{h} = -8x - 4h
\]
Luego, evaluamos el límite cuando \( h \) tiende a 0:
\[
\lim_{{h \to 0}} (-8x - 4h) = -8x
\]
Por lo tanto, el límite de la expresión es \( -8x \).
Quick Answer
El límite de la expresión es \( -8x \).
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