Question

limite de 2x+1/x-3 com x tendendo ao infinito

Answer 1

Lim  (2x+1)/(x-3)

x-->∞

Lim  x*(2+1/x)/x*(1-3/x)

x-->∞

Lim  (2+1/x)/(1-3/x)    =  (2+1/∞)/(1-3/∞)

x-->∞

=(2+0)/(1-0)  =2  é a resposta

Answer 2

Limites

• Cálculo:

$\large \boxed{ \boxed{ \large \sf \: \underset{x\to \infin }{lim \ } \: \dfrac{2x + 1}{x - 3} }}$

$\large \boxed{ \begin{array}{lr} \\ \large \boxed{ \sf \: \underset{x\to \infin }{lim \ } \: \dfrac{ \dfrac{2 x}{2x} + \dfrac{1}{x} }{ \dfrac{x}{x} - \dfrac{3}{x} }} \\ \\ \\ \large \boxed{\sf \: \underset{x\to \infin }{lim \ } \: \dfrac{2 + \frac{1}{x} }{0- \dfrac{3}{x} }} \\ \\ \\\boxed{ \large \sf \: \underset{x\to \infin }{lim \ } \: \frac{2 + 0}{0 - 0} } \\ \\ \boxed{ \sf{ = 2}} \\ \: \end{array}}$

➡️ Resposta:

• $\large \boxed{\boxed{ \large \sf \: \underset{x\to \infin }{lim \ } \: \dfrac{2x + 1}{x - 3} = 2 }}$

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