Question: A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or not continuous

A function f(x) is said to have a removable discontinuity at x

A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or not continuous at x = a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x = a. Let f(x) = = 2x2+6x-80 x-5 Show that f(x) has a removable discontinuity at x = 5 and determine what value for f(5) would make f(x) continuous at x= = 5. Must define f(5) =

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Please help me asap A function f (x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or not continuous at x = a. 2. fa) could either be defined or redefined so that...

1 Determine the point at which the function f(x) = 9 is discontinuous and state the type of discontinuity: removable, jump, infinite, or none of these. v ? 1. Choose the type Removable Jump Infinite...

Select the correct statement. The function f (x ) = x-x-6 x-3 O has a removable discontinuity at x = 3. O is continuous on (-0o, co). O has a jump discontinuity at a = 3. O has a vertical asymptote...

A function f x is said to have a jump discontinuity at x a if 1 lim f x exists I a 2 lim f x exists I a 3 The left and right limits are not equal Let f x Show that f x has a jump discontinuity at x...

II I Discontinuity of the First Kind from the Left at x The function f X R is said to have a discontinuity of first kind from the left at x if the left hand limit exist at x but not equal to the...

I am really desperate for someone to answer all 4 parts of this question (d, e, f, and g) (I have already posted this question twice and no one has answered all 4 parts sufficiently). This is due in...

P(x) Find the slant asymptote of the function: Suppose that f(x) = Q(x) where P(x) and Q(x) are 6x2 +8x + 3 quadratic polynomials. Suppose that y = f(x) has a vertical f ( x ) = x+1 asymptote x = 1,...

Previous Problem Problem List Next Problem (1 point) A function f (a) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. 2. lim f(x) exists. 3. The left and right limits are not...

A function f(a) is said to have a removable discontinuity at a = a if: 1. f is either not defined or not continuous at r = a. 2. f(a) could either be defined or redefined so that the new function IS...

Amy is trying to purchase concert tickets online for two of her favorite bands, the Leather Recliners and Double Latte No Foam. She estimates that her probability of being able to get tickets for the...

Combustion products enter a nozzle with total temperature of 700 K and total pressure of 200 kPa. For a back pressure of 60 kPa and a nozzle efficiency of 90%, determine the exit velocity. Assume the...

Colgate - Palmolive has a cash ratio of 2 0 . 3 8 % for 2 0 2 3 and a cash ratio of 1 9 . 3 6 % for 2 0 2 2 , what does this mean for the company

The force constant of a massless spring is 2 5 . 0 N / m . A mass of 0 . 4 5 kg is oscillating in simple harmonic motion at the end of the spring

explain the role of benchmarking within the cost management framework; LO1

describe how value chain analysis can be used to increase customer satisfaction and manage costs more effectively; LO1

explain how management audits can be used to facilitate cost management; LO1