UrbanPro
true

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Understanding Limits Through Graphs

A
Abhilash K S
04/08/2018 0 0

Maths is often taught mechanically. Just consider the case of limits. Most of the standard textbooks define, the limit is the value that a function "approaches" as the input "approaches" some value.

This neither gives the "feel" of maths, nor a beginner can appreciate its "beauty". A graphical approach is often more insightful.

Consider, the graph of f(x)=1/x.

In this case, at X=0, the value of f(x) approaches minus infinity if we approach from the negative side of the number line and f(x) approaches plus infinity if we approach from the positive side of the number line. Essentially, the limit doesn't exist as LHL is minus infinity and RHL is plus infinity.

Now to make it more clear consider the graph of f(x)=1/x^2

Here at x=0, both LHL and RHL approaches plus infinity. Hence limit exists as plus infinity at x=0.
Just by observing these two graphs a beginner gets an insight into when a limit is said to exist and when not.

0 Dislike
Follow 2

Please Enter a comment

Submit

Other Lessons for You

Maths Done Right.
Maximum students waste those crucial few seconds calculating simple multiplication. Few tricks that might help saving 10-15mins..Remember, saving 10 mins is like gold in board examination. 1. Multiplying...

Preparing for Maths Exam for SAT, GRE, NDA-NA & VII to XII Standard of Any Board
First, prepare a Formulae Notebook to make Ready Reference for solving the problems. Prepare Index page, write chapter numbers and number all pages of Notebook. Write Chapterwise formulae and mention...
A

Arun Vinayak Joshi

0 0
0

Class 11th - Conic sections
Determine the co-ordinates (x,y) of foci for given parabola. y2 = 2(x-1)
G

GOODWILL GATE2IIT

1 0
0

What Is The Value Of f(1) + f(2) + f(3) + f(4) + f(5) + f(6)?
Question: A function f(x) is defined as f(x) = f(x – 2) + x(x – 2) for all the integer values of ‘x’. Given that f(1) + f(6) = 0. What is the value of f(1) + f(2) + f(3) + f(4)...

What is Mathematics?
This is the question that is generally asked for students. So according to me ," mathematics is completely the study of nature. Mathematics is everywhere, in physics, in chemistry and in our daily life....
T

Tushar Sisodia

0 0
0
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more