Skip to content
Topological superconductors host Majorana modes at their edges or vortex cores

Limits (Formal Definition)

Please read Introduction to Limits first

Approaching ...

Sometimes we can't work something out directly ... but we can see what it should be as we get closer and closer!

Example:
(x2 − 1) (x − 1)

Now 0/0 is a difficulty! We don't really know the value of 0/0 (it is "indeterminate"), so we need another way of answering this.

So instead of trying to work it out for x=1 let's try approaching it closer and closer:

Let's work it out for x=1:

(12 − 1) (1 − 1) = (1 − 1) (1 − 1) = 0 0

Example Continued:

x   (x2 − 1) (x − 1)
0.5   1.50000
0.9   1.90000
0.99   1.99000
0.999   1.99900
0.9999   1.99990
0.99999   1.99999
...   ...

Welcome to our store

  • Home
  • Catalog
  • Contact
Log in
    My Store2
    • Home
    • Catalog
    • Contact
    Log in Cart

    Item added to your cart

    View cart
    • /pages/a-complete-guide-to-the-college-application-journey-and-undergraduate-education
    • /pages/a-knowledge-first-approach-to-awareness-and-better-decision-paths
    • /pages/a-meaningful-journey-through-college-admissions-and-undergraduate-degree-programs
    • /pages/a-supportive-campus-setting-for-your-undergrad-to-grad-transition
    • /pages/academic-programs-must-evolve-to-meet-the-demands-of-industries-that-shape-our-future
    • /pages/access-and-complete-pending-steps-swiftly
    • /pages/access-short-questions-to-finalize
    • /pages/advance-your-education-in-the-heart-of-a-vibrant-community
    • /pages/an-environment-that-supports-healthy-choices-and-positive-decision-making-regarding-academic-studies
    • /pages/answer-the-short-questions-today-to-go-ahead
    • /pages/bachelor-degree-programs-that-offer-a-first-class-education-and-holistic-development
    • /pages/breaking-barriers-through-collaborative-leadership-and-forward-vision
    • /pages/build-your-foundation-and-discover-graduate-opportunities-on-campus
    • /pages/building-a-sustainable-future-with-purpose-driven-leadership
    • /pages/by-embracing-innovation-and-cultivating-trust-we-create-impact-that-inspires-generations-to-come
    • /pages/clarity-achieved-through-consistent-learning-and-thoughtful-reflection
    • /pages/collaborations-with-campus-and-community-partners-as-students-navigate-the-university-experience
    • /pages/college-admissions-and-application-process-for-students-pursuing-bachelor-programs
    • /pages/college-application-steps-that-lead-to-bachelor-degree-and-higher-education-success
    • /pages/community-driven-campus-experiences-that-guide-your-application
    • /pages/contact
    • /pages/develop-your-career-through-community-driven-grad-experiences
    • /pages/discover-how-to-apply-while-immersing-in-campus-life
    • /pages/discover-our-campus-community-while-taking-the-next-step
    • /pages/discover-the-next-chapter-of-learning-through-our-grad-community
    • /pages/discover-your-potential-through-engaging-learning-and-application
    • /pages/discover-your-true-potential-through-the-university-application-and-admission-process
    • /pages/education-inspired-thinking-for-balanced-aware-and-informed-living
    • /pages/elevate-your-education-in-the-heart-of-an-influential-campus
    • /pages/elevate-your-future-with-graduate-studies-and-application-guidance
    • /pages/ensuring-universal-access-for-students-with-abilities-who-qualify-for-admissions
    • /pages/everything-you-need-to-know-about-navigating-the-school-admissions-process-for-academic-success
    • /pages/expand-your-academic-horizons-in-an-engaged-campus-setting
    • /pages/experience-graduate-growth-through-classroom-and-community
    • /pages/experience-our-influential-campus-and-discover-application-steps
    • /pages/explore-your-path-to-success-through-campus-life-and-grad-programs
    • /pages/find-out-what-makes-our-student-experience-so-bright
    • /pages/first-class-undergraduate-programs-that-prepare-students-for-global-opportunities
    • /pages/forging-ahead-with-innovation-vision-and-collective-determination
    • /pages/from-application-to-experience-your-graduate-journey-begins-here
    • /pages/from-classroom-to-campus-life-a-transformational-grad-journey
    • /pages/from-undergrad-to-grad-explore-our-inspiring-campus-community
    • /pages/fueling-success-through-remarkable-leadership-and-a-growth-focused-approach
    • /pages/fueling-success-through-remarkable-leadership-and-a-growth-focused-approach-1
    • /pages/gain-the-tools-you-need-to-apply-and-succeed-in-grad-school
    • /pages/graduate-education-that-connects-you-with-campus-and-community
    • /pages/graduate-programs-rooted-in-the-heart-of-a-global-campus-community
    • /pages/graduate-with-confidence-in-a-program-that-builds-on-your-strengths
    • /pages/grow-your-skills-in-a-graduate-program-designed-for-impact
    • /pages/heart-of-campus-learning-that-prepares-you-for-graduate-success

    Stay in the know

    Payment methods
      © 2026, My Store2 Powered by Shopify
      • Privacy policy
      • Choosing a selection results in a full page refresh.
      • Opens in a new window.