JEE Main Questions
Find an approximation of (0.99)5
using the first three terms of its expansion.
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Find the degree of the polynomial
Show that the middle term in the expansion of (1+x)2nis n!126.96.36.199n−1˙˙2nxn2nxn, where n is a positive integer.
Expand of the expression : (1−2x)5
Find (a+b)4−(a−b)4. Hence, evaluate (3+2)4−(3−2)4.
If the sum of the coefficients of the first, second, and third terms of the expansion of (x2+x1)mis46, then find the coefficient of the term that does not contain x˙
Find the coefficient of x20
Which is larger (1.01)10000000or 10,000?
Find (i) the last digit, (ii) the last two digits, and (iii) the last three digits of 17256˙