Evaluating the limit using special trig limits

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👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time.
The limit of a function is usually evaluated by direct substitution of the value which the variable tends to. When the function is a rational expression such that direct substitution leads to zero in the denominator, we find a way to either eliminate the denominator by multiplying both the numerator and the denominator by a common factor or decompose the denominator and the numerator into constituent parts so that like terms can cancel out.
When choosing the factor to multiply the numerator and the denominator with. The special trigonometry limit property can be helpful.

Organized Videos:
✅The Limit
✅Evaluate Limits of Complex Fractions
✅Evaluate Limits of Polynomials
✅Evaluate Limits of Rational Expressions
✅Evaluate Limits with Square Roots
✅Evaluate Limits with Trig
✅Limits of Piecewise Functions
✅Evaluate Limits with Transcendentals
✅Evaluate Limits Difference Quotient
✅Evaluate Limits from a Graph
✅Evaluate Limits of Absolute Value
✅Evaluate Limits of Square Root
✅Holes and Asymptotes of Rational Functions
✅Learn about Limits
✅Find the Value that makes the Function Continuous
✅Is the Functions Continuous or Not?
✅Evaluate Limits using a Table of Values
✅Evaluate Limits at Infinity

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You truly are a great teacher. I have gone through countless videos to completely master calculus, and none have helped me as you have. I truly appreciate your time in teaching down to the simplest methods and taking your time in fully explaining how you got from step A to step B, as seeing how many others skip over, expecting you to know the details in between . Thanks for posting these videos, I wish the best for you.

willowtree
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this really helped me save hours of skimming through my notes. a great teacher!

ephraimcalebjohnfigueras
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Hey Brian! I just had a quick question. I understand that multiplying the function by a value (ie. 4/4) will be equal to the same and it is just a multiple of the initial function. But a part of me can't wrap around why we don't multiply the other side with the same value, since I am always told to multiply LS and RS by the same number. I guess my conceptual understanding is a bit rough, but I was wondering if you could help me out!

janieli
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isekaidwannabe
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Bentley
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You carried my precalc semester so now it's up to you to carry me in Calc >:-)

kevcopo
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you saved me from hours of getting nowhere

shaomoran
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I dont get it, how does sin4x/4x become 1

naj.
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lastchance
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