题目【题目】 A function f has the derivative shown. Which o f the following statements must be false?() A. f is continuous at x=a B. f has a vertical asymptote at x=a C. f has a jump discontinuity at x=a D. f has a removable discontinuity at x=a 相关知识点: 试题来源:...
Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable? f(x) = -2x + 3 when x less than 1, f(x) = x^2 when x greater than 1. Find a function y =f(x) that has a removable discontinu...
$$(c) I f th e function is differentiabl e at x= c. then it has a horizontal tangent lin e at x= c.), then f has a non-removable$$ ) I f \lim _ { x \rightarrow c ^ { - } } f ( x ) a n d \lim _ { x \rightarrow c ^ { + } } f ( x ) e x i s ...
a) The function has a removable discontinuity at Find the coordinate for which the function f(x) = \frac{x^4 + 4x^3 - 5x^2}{x^2 - 1} has a removable discontinuity. a. f(x) has no removable discontinuities b. (1, 3) \c. (5, \frac{12...
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Step by step video, text & image solution for If f(x)= 2x and g(x) = (x^(2))/(2) + 1, then which of the following can be a discontinuous function? by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams. ...
Removable discontinuity: A real-valued function {eq}f {/eq} of one variable {eq}x {/eq} has a removable discontinuity at {eq}x = a {/eq} if the right-sided limit is equal to the left-sided limit at the point {eq}x = a {/eq}. But, in ...
Which function has a removable discontinuity? (a) f(x) = 5x / (x - x^2). (b) p(x) = (x-1) / (x^2 - x - 2). (c) h(x) = (x^2 - x + 2) / (x+1). (d) g(x) = 2x-1 / x. Find: f(x)=\frac{x-9}{x^2-11x+18}...
If the function f(x) defined as : f(x)=(x^(4)-64x)/(sqrt(x^(2)+9)-5), for x!=4 and =3, for x=4 show that f(x) has a removable discontinuity at x=4 View Solution Which of the following functions is/are discontinuous at x=0?f(x)=sin((pi)/(2x)),x!=0 and f(...
The integral cannot be defined if the function has an infinite number of discontinuities. If a function:y=f(x)is defined for an interval[a,b]then for everyx∈[a,b], we get value off(x)as finite quantity. Answer and Explanation:1 ...