SHORT NOTES MODULE 1 : THE DERIVATIVES
LIMIT EXISTENCE OF LIMIT
LIMIT OF f(x) AT x=a EXISTS IF AND ONLY IF
LEFT HAND LIMIT EQUALS RIGHT HAND LIMIT
lim f ( x ) = lim f ( x ) = L
lim f ( x ) = L
x→a+
x→a
x→a−
EVALUATION OF LIMIT
Limit at a number:
f(x) is a polynomial
f(x) is a rational function
f(x) is a rational function
f(x) is a rational function
SUBSTITUTION
SUBSTITUTION
CONJUGATION
FACTORIZATION
f(x) is a rational function LIMIT DOES NOT EXIST