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Cream of the Crop 1
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EDUCATE
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SM20A.ARJ
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EXERCI10.6
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1992-04-12
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82 lines
problem1
y=ln(2-x)/(1+e^(2*x))
subs(x=0, y)
problem2
y=(sin(2*x)-tan(2*x))/x^2
subs(x=0, y)
lim(x=0, y)
problem3
y=(x^2+2*x+3)/ln(x+1)
subs(x=inf, y)
lim(x=inf, y)
problem4
y=atan(x)/asin(x)
subs(x=0, y)
lim(x=0, y)
problem5
y=(e^(2*x)-e^(-2*x)-4*x)/x^3
subs(x=0, y)
lim(x=0, y)
problem6
y=tan(x)/sec(x)
subs(x=pi/2-zero, y)
lim(x=pi/2-zero, y)
problem7
y=x^e/e^x
subs(x=inf, y)
problem8
y=cos(x)*ln(cos(x))
subs(x=pi/2-zero, y)
subs(zero=0, last)
lim(x=pi/2-zero, y)
subs(zero=0, last)
prolem9
y=(1-2*e^(1/x))*x
subs(x=inf, y)
problem10
y=atan(x)*csc(x)
subs(x=0, y)
lim(x=0, y)
problem11
y=(1+8*x^2)^(1/x^2)
subs(x=0, y)
lim(x=0, y)
problem12
y=ln(x)^(x-1)
subs(x=1, y)
lim(x=1, y)
problem13
y=(e^x+1)^(1/x)
subs(x=inf, y)
lim(x=inf, y)
problem14
y=1/tan(x)-1/x
subs(x=0, y)
lim(x=0, y)
problem15
inte(1/sqrt(x), x from 4 to inf)
problem16
inte(1/(x*sqrt(x)), x from 4 to inf)
problem17
inte(1/(x+2), x from -inf to 0)
problem18
inte(sin(x), x from 0 to inf)
problem19
inte(1/x^(1/3), x from -8 to 1)
problem20
inte(1/(x+4), x from -4 to 0)
problem21
inte(x/(x^2-1)^2, x from 0 to 2)
problem22
inte(1/(x*sqrt(x^2-1)), x from 1 to 2)
problem23
inte(1/(e^x+e^-x), x from -inf to inf)
problem24
inte(x*e^x, x from -inf to 0)
problem25
inte(ln(x)/x, x from 0 to 1)
problem26
inte(csc(x), x from 0 to pi/2)
end