permutation and combination

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indeterminate forms and
l'hospital's rule for limitspermutation and
combination( 0/0 ) , ( infinity / infinity ), ( 0* infinity ) , ( infinity- infinity ), ( 0^0 ), ( infinity^0 ) , ( 1^ infinity ) are indeterminate forms. L'Hospitals rule (for limits) 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 combinationsn ! 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
---------------------------------------------------------------------------------------------- trigonometric
identity and ratio of certain standard angles--------------------------------------------------------------------------------------- |

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