b Av 50- ose f is continuous on the intervals [a,p) and [p,b], where a

Q: Bisection method can be applied for the function f(x) = x3 + x - 3 at (1,4] Select one: O True False

A: The given function is fx=x3+x-3 at 1,4. The bisection method is used to obtain the roots of the…

Q: Define g(-5) in a way that extends g(x) = x² - 25 x + 7x + 10 to be continuous at x = -5.

A:

Q: X +5 ×ラン2x?+x メP

A:

Q: Determine and graph the domain set of the function f(x, y) = ln(x²+9y2-81) ==

A:

Q: Let f (x) = x + x3 + 2x 1. The function f is increasing on the following interval(s): (а, b) O [a,…

A:

Q: Part. f. True or False: g(x) = In(x-1) is continuous for x > 1. 4 x +22

A:

Q: (2ax + 4,x < 2 g(x) = 110, 7. Find the value of “a" if gx) is continuous for all 2 < x real numbers.

A: g(x)is  continues for all real numbers

Q: Find number k so that f(z) = 10x + 8 x -1 is continuous on (-0,0). O -2 4 -4

A:

Q: Let x2-2x-3 f(x) = キ3 if For what Values of x is f Contin uo4s? Find the absolate min values of the…

A: Given function is

Q: Let f(x) be the piecewise function -2x + k f(x) = { x² + 1 if x < 1 if x ≥ 1

A: for continuous function

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.