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indeterminate forms and l'hospital's rule for limits
permutation and combination
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indeterminate forms and l'hospital's rule for limits
permutation and combination
 

( 0/0  ) , ( infinity / infinity ), ( 0* infinity ) , ( infinity- infinity ), ( 0^0 ), ( infinity^0 ) , ( 1^ infinity )
are indeterminate forms.
indeterminate forms
L'Hospitals rule (for limits)
lhospitals rule
that is differentiate the numerator and denominator separately
then take the limit again, if it is again of the form ( 0/0  ) or ( infinity / infinity ), apply the same rule again.
proceed till you get  non-indeterminate form.
remember to change the given indeterminate form into ( 0/0  ) or ( infinity / infinity )  form before you start to apply the rule.
Permutations and combinations

n ! is read as n factorial and is defined as

n ! = n ( n-1) ( n-2) ( n-3) . . .3.2.1 , if n is a positive integer

0 ! = 1

n Pr or P(n,r) is the number of ways of arranging n things taken r at a time, where n is greater than or equal to r.
permutation
n C r or C(n,r) is the number of combinations of n things taken r at a time . n C r is the number of ways of selecting r things from n things.)

combination








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trigonometric identity and ratio of  certain standard angles

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