Question

calcule os limites abaixo.

Answer 1

c)

$\lim_{x \to 2^-} f(x)= \lim_{x \to 2} 2x=2*2= 4\\\\ \lim_{x \to 2^+} f(x)= \lim_{x \to 2} (x+1)=2+1=3$

d)

$\lim_{x \to -1^-} f(x)= \lim_{x \to -1} 2x=2*(-1)= -2\\\\ \lim_{x \to -1^+} f(x)= \lim_{x \to -1} (x+1)=-1+1= 0$

e)

$\lim_{x \to 0^-} f(x)= \lim_{x \to 0} x^2=0^2=0\\\\ \lim_{x \to 0^+} f(x)= \lim_{x \to 0} (2x-1)=2*0-1=-1$

f)

$\lim_{x \to \frac{1}{2} ^-} f(x)= \lim_{x \to \frac{1}{2} } \frac{x^2}{2}= \frac{(\frac{1}{2})^2}{2}=\frac{1}{8} \\\\ \lim_{x \to \frac{1}{2} ^+} f(x)= \lim_{x \to \frac{1}{2}} x=\frac{1}{2}$

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