Mathematics
Session Functions, Limits and Continuity - 2
Session Objectives Sandwich Theorem Limits of Trigonometric Functions Limits of Exponential Functions Limits of Logarithmic Functions Limit at Infinity
Theorem Note: If f(x)<g(x) for all x, then we can not say that. If f and g are real functions defined in an open interval containing a such that and both exist. Then,
Sandwich Theorem Let f, g, h be real functions defined in an open interval containing ‘a’ such that in the neighborhood of ‘a’
Limits of Trigonometric Functions
Example-1(i) Solution :
Example-1(ii) Solution :
Example-1(iii) Solution :
Solution Cont.
Example-1(iv) Solution :
Solution Cont.
Example-1(v) Solution :
Example-1(vi) Solution :
Solution Cont.
Limits of Exponential Functions
Limits of Exponential Functions (Cont.)
Limits of Logarithmic Functions
Example-2(i) Solution :
Solution Cont.
Example-2(ii) Solution :
Solution Cont.
Example-2(iii) Solution :
Solution Cont.
Example -2 (iv) Solution :
Solution Cont.
Solution-2 (v) Solution :
Solution Cont.
Thank you