armannn armannn
  • 13-08-2020
  • Mathematics
contestada

Math-Limits and Derivative. Could anybody help me,please ?

MathLimits and Derivative Could anybody help meplease class=

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 13-08-2020

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]\displaystyle f'(0)=\lim_{x\rightarrow0} {\dfrac{f(x)-f(0)}{x-0}}\\\\=\lim_{x\rightarrow0} {\dfrac{\dfrac{\sqrt{1+x}-1}{x}-k}{x}}\\\\=\lim_{x\rightarrow0} {\dfrac{\dfrac{\sqrt{1+x}-1-kx}{x}}{x}}\\\\=\lim_{x\rightarrow0} {\dfrac{\sqrt{1+x}-1-kx}{x^2}}\\[/tex]

Thank you

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