LIMITS LIMITS STANDARD LIMITS LIMITS STANDARD LIMITS LIMITS

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LIMITS

LIMITS

LIMITS STANDARD LIMITS

LIMITS STANDARD LIMITS

LIMITS STANDARD LIMITS

LIMITS STANDARD LIMITS

LIMITS

LIMITS

LIMITS

LIMITS

LIMITS

LIMITS

LIMITS Methods of finding the limits 1) By direct substitution 2) By factorization 3)

LIMITS Methods of finding the limits 1) By direct substitution 2) By factorization 3) By rationalization 4) By formulae Finding the limit by direct substitution

LIMITS Solution = 13

LIMITS Solution = 13

LIMITS Finding the limit by factorization

LIMITS Finding the limit by factorization

LIMITS Solution =4

LIMITS Solution =4

LIMITS Solution =0

LIMITS Solution =0

LIMITS Solution =1

LIMITS Solution =1

LIMITS Solution Rationalizing numerator and denominator

LIMITS Solution Rationalizing numerator and denominator

LIMITS

LIMITS

LIMITS Solution

LIMITS Solution

LIMITS Rationalize numerator

LIMITS Rationalize numerator

LIMITS

LIMITS

LIMITS MCQs 1) 0 1) 2 P P 2) Does not exist 3) 1

LIMITS MCQs 1) 0 1) 2 P P 2) Does not exist 3) 1 3) -2 4) 0 4) -1

LIMITS 1) 0 2) 1 P

LIMITS 1) 0 2) 1 P

LIMITS BY USING STANDARD FORMULAE

LIMITS BY USING STANDARD FORMULAE

LIMITS Limits by using standard formulae: Solution [ e>1] =0

LIMITS Limits by using standard formulae: Solution [ e>1] =0

LIMITS Solution =1 x 7 =7

LIMITS Solution =1 x 7 =7

LIMITS Solution = e 3 1 = e 3

LIMITS Solution = e 3 1 = e 3

LIMITS Solution = e 3 1 = e 3

LIMITS Solution = e 3 1 = e 3

LIMITS Solution =1 1 =1

LIMITS Solution =1 1 =1

LIMITS Solution =1 x 5 =5

LIMITS Solution =1 x 5 =5

LIMITS Solution = 1 x 13 =1

LIMITS Solution = 1 x 13 =1

LIMITS Solution =1 x 0 =0

LIMITS Solution =1 x 0 =0

LIMITS Solution

LIMITS Solution

LIMITS Solution =2

LIMITS Solution =2

LIMITS Solution =1 1 =

LIMITS Solution =1 1 =

LIMITS Solution

LIMITS Solution

LIMITS

LIMITS

LIMITS Limits at infinity: 0 when m < n

LIMITS Limits at infinity: 0 when m < n

LIMITS Solution L. H. S = R. H. L

LIMITS Solution L. H. S = R. H. L

LIMITS Solution R. H. L L. H. L

LIMITS Solution R. H. L L. H. L

LIMITS Solution L. H. L R. H. L

LIMITS Solution L. H. L R. H. L

LIMITS Solution L. H. L R. H. L

LIMITS Solution L. H. L R. H. L

LIMITS Solution L. H. L = R. H. L

LIMITS Solution L. H. L = R. H. L

LIMITS Solution L. H. L R. H. L

LIMITS Solution L. H. L R. H. L

LIMITS Solution = -1

LIMITS Solution = -1

LIMITS Thank you…

LIMITS Thank you…