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Use L''hopital''s rule since lim X-->0 1-cos(x)/1-cos(4x) is in the indeterminate form 0/0 when we apply the limtso by l''hoptital''s rule differentiate the numerator and denominatiorso we get lim x-->0 sin(x)/4sin(4x) again in the indeterminate form when we apply limit so again use l''hopitals'' rulelim x-->0 cos(x)/16cos(4x) now if u apply the limit we get it as 1/16so lim x--->0 1-cos(x)/1-cos(4x) = 1/16
Expand (1- 1/2x -x^2)^9
describe the end behavior of the following function using Limit notation f(x)= 2x-1/x-1
"Prove by contradiction that no root of the equation x^18 -2x^13 + x^5 -3x^3 + x - 2 = 0 is an integer divisible by 3" Any help would be very much appreciated!
The region bounded by y=e -x and the x-axis among x = 0 and x = 1 is revolved around the x-axis. Determine the volume and surface area of this solid of revolution.
Solve 2x^2 + 5x + 36
1. (‡) Prove asymptotic bounds for the following recursion relations. Tighter bounds will receive more marks. You may use the Master Theorem if it applies. 1. C(n) = 3C(n/2) + n
A certain flight arrives on time 78% of the time. Suppose 1000 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that a)
i don''t understand how
A class has 175 learners. The given table describes the number of learners studying one or more of the subsequent subjects in this case Subjects
what is division
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