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1.If y = x + x2/2 + x3/3 + x4/4+...show that x = y - y2/2! + y3/3! -y4/4!+...
2.How many numbers lying between 10 and 1000 can be formed with the digits 3,4,5 and 7?
hi....wr r u frm?I m yaswanth frm Andhra..
HI SHWETA
1) here we will use the concept of series we get by Taylor''s theorom
y = -ln(1-x) u can easily find the series of ln(1+x) in any class 12 book in limits topic
from here you can find the inverse of y which is x = 1 - e^(-y)
now apply the series with the help of series of e^x you will get the answer
2) in this question lets find some cases
a) two digit number
now it can be visualised as arranging 4 elements in 2 places with repitition
ity is 4 * 4
b) three digit number
similarly you will get 4*4*4
there is only one 4 digit number 1000 which is not the number we are finding out
just above 2 cases will be there you will get the answer
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