A function f(x) is continuous at x = c if the following are true:

1) f(c) exists
2) the limit lim f(x) exists (it is the same from the left and the right)
x  c
3) the limit is equal to the value of f(c)

True or false:

a)lim x--->2- f(x) = 3

FALSE. The limit of f(x) as x approaches 2 from the left is equal to 0.

b)limx--->2+ f(x) =0 ...

Solution Summary

The following posting helps with problems involving limits. The solution consists of the definition of continuity of a function and answers to each part of the question. Step by step calculations are given for each problem.

... of a projectile, finding limits, finding limits using squeeze law and continuity of functions are ... complete and detailed answer to all the questions. ...

... Fifteen problems involving Graphs, Limits, Continuity, Equation of Line from Two Points ... a rating of "5" from the student who originally posted the question. ...

Complete question 1, 4 and 8 only. ... Remark: The condition of continuity is absolutely necessary, because it is possible the limit (1) to exist, but the ...

... The terminology on this makes my brain hurt, can you also put this question in simpler terms when ... The solution examines functions, limits and continuity. ...

simple calculus question. ... The limit of a sum is the sum of the limits: = 2/(25 (lim_(x->0) cos(5 ... Using the continuity of cos(x) at x = 0 write lim_(x->0) cos(5 ...

... a governor may serve, so the basic question is whether ... would destroy the expertise and continuity necessary for ... Additionally, many see term limits as a blow ...

... business partnership (general partnership) versus a limited partnership. ... of ownership to liability 3. taxation 4. continuity of existence ... Interesting question! ...

... The reality is that we have a limited amount of ... arguments and discussions that directly tackle the questions on global ... 1. Business Continuity Explained. ...

... by social class and training but is not limited by it ... and integration as well as the question of latent continuity. ... I would like to say that questions 2 and 3 ...