Question: Prove that if lim xc 1 f(x) = 0 then lim xc f(x) does not exist.

Prove that if

lim x→c 1 f(x) = 0

then lim x→c f(x) does not exist.

Step by Step Solution

★★★★★

3.38 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

We can prove this statement by contradiction Suppose ... View full answer

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 Precalculus Questions!

Q:

Choose the correct option for the following 41. _______________ is the sale of a foreign currency when the exchange rate falls or is lower, in the expectation that it will fall even lower in the...

Q:

Please help me to figure out these 10 problems step by step, thank you! 1. [-/1 Points] DETAILS SCALCCC5 4.5.028. Find the limit. Use L'Hospital's Rule where appropriate. If there is an applicable...

Q:

Prove that does not exist but that lim cos( 1/x)

Q:

Consider three real numbers a

Q:

For Exercises 1 - 3, the graph of f is shown. Find (a) the x-values where f '(x) =0, (b) the x-values where [ '(x) does not exist, (c) the intervals where f is increasing/decreasing, and (d) the...

Q:

2. Sketch the graph of a function having the indicated characteristics. f' (x) 0 if x > - 2 lim f(x) Does Not Exist x- -2 84, 7 - 6- 00 - ? -6 -5 -4 -3 -2 -1_1 1 2 3 4 6 7 do is on in to to No

Q:

Q2[10 pts]: If f and g are the functions whose graphs are shown, let h(x) = f(g(x)). Find h'(2). 9 S O Q3[10 pts]: Sketch the graph of a function that satisfies the following conditions. f(0) = 0,...

Q:

in here P(A) is power set of(A) 1.Prove that A B iff P (A) P (B). 2. Prove that for any set A, A = P (A). 3. Suppose {Ai | i I} and {Bi | i I} are indexed families of sets. (a) Prove that iI (Ai...

Q:

buckley (jdb4687) - Review - beshaj - (53521) This print-out should have 60 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. Find the...

Q:

buckley (jdb4687) - Review - beshaj - (53521) This print-out should have 60 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. Find the...

Q:

Three capacitors. C, 2 uF.C,=1 uF. and C,-4 nF, are connected in series to a 5-V source. The equivalent capacitance of the circuit is 25 nF. Now the three capactors are reconnected in parallel with...

Q:

Find the angle measure x in the following figures. (a) (b) (c) (d) 50 130 120 X

Q:

Market Price Intrinsic Value Equilibrium Price Efficient Market The current price of the stock The resulting price of a stock if all information about the stock was known by investors The price at...

Q:

BE3-5 On July 1,2008, Spahn Co. pays $18,000 to Randle Insurance Co. for a 3-year insurance contract. Both companies have fiscal years ending December 31. For Spahn Co., journalize and post the entry...

Q:

In Exercises assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. Equation y = x (a) (b) Find dy dt dx dt when x = 4 when x = 25 Given dx | dt...

Q:

In Exercises find dy/dx by implicit differentiation. x - y = 25

Q:

In Exercises assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. Equation y = 3x - 5x (a) (b) Find dy dt dx dt when x = 3 when x = 2 Given dx...

Q:

Question 2 of 3

Q:

Smith has sued Jones claiming that Jones' negligent operation of her car resulted in personal injury to Smith. Which of the following statements is correct with regard to this lawsuit? A. The jury...

Q:

In 2012, Hoosier Sports Co. had net income of $70,000. If accounts payable and accruals increased by $45,000, receivables and inventories fell by $70,000, and depreciation was $30,000, what was the...