Table of Contents

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