1800-150-456-789
FlagBACK
Flag Algebra> modulus operator is a bit tough for me an...
question mark

modulus operator is a bit tough for me and i cant understand a thing in some questions for eg
lim x->0- mod(x)/x=-1;
how does this work
mod must always be positive right?

Jake Dickson , 9 Years ago
Grade 12
anser 2 Answers
Ajay

Last Activity: 9 Years ago

Its not difficult if you visualise it graphically.  
Search google for desmos graphing calculator and plot the graph for this function y= mod(x)/x.
You will see why left hand limit for thins function is -1 at 0.
 
Aletrnate solution 2
by definition mod(x) = x if x> 0 and
                                = -x if x
Hence for x
or limit x->0- = -1.
 
Alternate solution2
let x =0-h
as h->0 x->0-
hence the given limit can we evalauted as
limit h->0  mod (h)/(-h) = -1.
 
Its as simple as that
 
 
Ajay

Last Activity: 9 Years ago

Posting again as the there is bug in website which does not properly dispay inequalities.
 
Its not difficult if you visualise it graphically.  
Search google for desmos graphing calculator and plot the graph for this function y= mod(x)/x.
You will see why left hand limit for this function is -1 at 0.
 
Alternate solution 1
by definition mod(x) = x if x is greater than 0
                                = -x if x is less than 0
Hence for x less than 0
mod(x)/x = -x/x = -1.
or limit x->0- = -1.
 
Alternate solution2
let x =0-h
as h->0 x->0-
hence the given limit can we evalauted as
limit h->0  mod (h)/(-h) = -1.
 
Its as simple as that
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Other Related Questions on algebra

question mark
What is a binomial expression?
algebra
1 Answer Available

Last Activity: 1 Year ago

question mark
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available

Last Activity: 1 Year ago

question mark
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available

Last Activity: 1 Year ago

question mark
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?
algebra
1 Answer Available

Last Activity: 2 Years ago