Unit I: Lec 5 | MIT Calculus Revisited: Single Variable Calculus

Unit I: Lecture 5: A More Rigorous Approach to Limits

Instructor: Herb Gross

View the complete course: http://ocw.mit.edu/RES18-006F10

License: Creative Commons BY-NC-SA
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Category:

Education

Tags:

• calculus
• single variable
• sets
• functions
• derivatives
• limits
• differentiation
• circular functions
• definite integral
• transcendental functions
• integration
• infinite series

[ghostandgoblins]

Love his accent ! Goodfellas~

[hiphopsocnroc]

hard? not listening to his lectures...

[hgross3comcast]

@MrSnobby24 If f had been “any old” function you would be correct. However in this particular problem we have defined f by f(x) = c for all values of x. In other words, we should have (or at least, could have) written f(x) ≡ c or else added the phrase “for all values of x” after f(x) = c.

If this doesn’t answer your question, please write to me at hgross3@comcast.net and I will try to do better

[MrSnobby24]

8:21 why did he assume that f(a) = c,that`s not always the case,the function could be not continuous at x=a.

[anakmudajaman]

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[AntoMelta]

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[willamricard]

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[imegatrone]

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[hgross3comcast]

@fsfsto I was wondering if you might want to expand on your comment. I am very interested in hearing both the pros and cons of my presentaitons.

Thanks.

Herb Gross

[fsfsto]

huh?!....

[hgross3comcast]

@oelefante Thanks for the kind words! I’m not sure what exercises you are looking for. There should be exercises for each lecture in the study guide which is available on the OCW website. If you still have trouble finding them please write to me at hgross3@comcast.net.