the value of xp+1-px-x+p/(x-1) if x tends to 1,p belongs to N

Dear Student,

Please find below the solution to the asked query :

limx1xp+1-px-x+px-12Since it is 0/0 form after putting limit so using, L'hospital rule=limx1ddxxp+1-px-x+pddxx-12=limx1xp+1lnp+1-p-12x-1= ln2-20= 

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