T6
Nalezněte body nespojitosti a určete jejich druh:
75.
\( f(x) = \frac{x}{(1 + x)^2} \) f(x) = x/(1 + x)^2)
81.
\( f(x) = \sgn \sin \frac{\pi}{x} \) f(x) = sgn sin (pi/x)
82.
\( f(x) = \frac{\cos \pi/x}{\cos \pi/x} \)
76.
\( f(x) = \frac{1+x}{1 + x^3} \)
77.
\( f(x) = \frac{\frac{1}{x} - \frac{1}{x + 1}}{\frac{1}{x - 1} - \frac{1}{x}} \)
78.
\( f(x) = \frac{x}{\sin x} \) f(x) = x / sin x
79.
\( f(x) = \sqrt{\frac{1 - \cos (\pi x)}{4 - x^2}} \) f(x) = sqrt( (1 - cos (pi x)) / (4 - x^2))
85.
\( f(x) = e^{x+\frac{1}{x}} \)
80.
\( f(x) = \cos^2 \frac{1}{x} \) f(x) = cos^2 1/x
83.
\( f(x) = arctg =====84.===== \( f(x) = π x 1 ln x 1 =====87.===== \( f (x) = x 1 − e 1−x =====86.===== \( f(x) = \frac{1}{\ln x} \) f(x) = 1/ln x
