Para resolver: 12. Determine, se existirem os limites das funçð̉es quando $$ x ightarrow+\infty \quad $$ e $$ x ightarrow 5: $$ $$ \begin{array}{lll} ext { 12.1. } f(x)=x-\sqrt{x} & ext { 12.2. } g(x)=\sqrt{x^{2}+1}-x & ext { 12.3. } h(x)=\sqrt{x+5}+\sqrt{x-5}\end{array} $$

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Para resolver: 12. Determine, se existirem os limites das funçð̉es quando $$ x ightarrow+\infty \quad $$ e $$ x ightarrow 5: $$ $$ \begin{array}{lll}	ext { 12.1. } f(x)=x-\sqrt{x} & 	ext { 12.2. } g(x)=\sqrt{x^{2}+1}-x & 	ext { 12.3. } h(x)=\sqrt{x+5}+\sqrt{x-5}\end{array} $$

Herrera Logan · Accepted Answer

- **12.1:** - $$ \lim_{x \rightarrow +\infty} f(x) = +\infty $$ - $$ \lim_{x \rightarrow 5} f(x) = 5 - \sqrt{5} $$ - **12.2:** - $$ \lim_{x \rightarrow +\infty} g(x) = 0 $$ - $$ \lim_{x \rightarrow 5} g(x) = \sqrt{26} - 5 $$ - **12.3:** - $$ \lim_{x \rightarrow +\infty} h(x) = +\infty $$ - $$ \lim_{x \rightarrow 5} h(x) = \sqrt{10} $$

Para resolver: 12. Determine, se existirem os limites das funçð̉es quando \( x \rightarrow+\infty \quad \) e \( x \rightarrow 5: \) \( \begin{array}{lll}\text { 12.1. } f(x)=x-\sqrt{x} & \text { 12.2. } g(x)=\sqrt{x^{2}+1}-x & \text { 12.3. } h(x)=\sqrt{x+5}+\sqrt{x-5}\end{array} \)

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Para resolver: 12. Determine, se existirem os limites das funçð̉es quando \( x \rightarrow+\infty \quad \) e \( x \rightarrow 5: \) \( \begin{array}{lll}\text { 12.1. } f(x)=x-\sqrt{x} & \text { 12.2. } g(x)=\sqrt{x^{2}+1}-x & \text { 12.3. } h(x)=\sqrt{x+5}+\sqrt{x-5}\end{array} \)

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