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Ex 12.1, 12 - Chapter 12 Class 11 Limits and Derivatives
Last updated at Dec. 16, 2024 by Teachoo
Chapter 12 Class 11 Limits and Derivatives
Concept wise
- Limits - Definition
-
Limits - 0/0 form
- Limits - x^n formula
- Limits - Of Trignometric functions
- Limits - Limit exists
- Derivatives by 1st principle - At a point
- Derivatives by 1st principle - At a general point
- Derivatives by formula - x^n formula
- Derivatives by formula - sin & cos
- Derivatives by formula - other trignometric
Transcript
Ex 12.1, 12 Evaluate the Given limit: lim┬(x→−2) (1/x + 1/2)/(x + 2) lim┬(x→−2) (1/x + 1/2)/(x + 2) At x = –2, the value of the given function takes the form 0/0 . So, simplifying lim┬(x→−2) (1/x + 1/2)/(x + 2) = lim┬(x→−2) (((2 + x)/2x))/(x + 2) = (𝐥𝐢𝐦)┬(𝐱→−𝟐) 𝟏/𝟐𝐱 Putting x = –2 = 1/(2(−2)) = (−𝟏)/𝟒
