1 апр. 2019 г. · To say if a function is continuous at a point, you evaluate the function at that point and compare it with its limit. In your example, suppose ...

25 окт. 2023 г. · Informally, functions are continuous if they don't have any jumps, holes or singularities - you could draw the curve without lifting your pen.

12 окт. 2020 г. · For every even root in your function, check for solutions of 0 > radicand. Same with fraction exponents with even denominators and 0 > basis.

21 сент. 2019 г. · Depends on the function, if the function is a combination of functions which are known to be continous (for example if f(x) = g(x) * h(x) ...

9 сент. 2021 г. · The function f(x)=1/x is continuous because even though the graph has a discontinuity at x = 0, this point is not in the functions domain.

10 мая 2024 г. · Informally, a function is continuous if you can draw it without lifting your pencil from the paper. Anywhere you have to lift the pencil ...

25 апр. 2024 г. · In the case of the cos(x) it is known that this function is defined on R therefore it's primitive will be continuous. If you take f(x) = | x | ...

14 авг. 2017 г. · There is a another way to prove that the components f_i are continuous. Try to write f_i as a composition of f and another continuous function.

9 сент. 2015 г. · A function is continuous if its limit at every point is its value. More informally, you can draw it without taking your pencil off of the graph.

26 нояб. 2024 г. · As the derivative relates to the slope and knowing where the slope is zero can help inform where it switches from decreasing to increasing or ...