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taylor

taylor((x^(1-q)-1)/(1...

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assume-solve

assume(r>0);

f1:(x-vx)^2+vy^2=r^2;

f2:vx^2+(y-vy)^2=r^2;

Calculate

taylor

rx:x-xc;

ry:y-yc;

r:rx*rx+ry*ry;

Calculate

taylor

taylor(x/((1-x)^2*(x^...

Calculate

taylor

taylor(2*x/(1-x^2)+a0...

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taylor

f(x):=1-2*x+4*x^2;

taylor(f(x),x,0,3);

Calculate

assume-integrate-sqrt

assume(x>0);

integrate(t^(5/2)/sqr...

Calculate

assume-exp-inf-integrate

assume(t > 1);

integrate (exp(-u)*u^...

Calculate

taylor

t=e^-x;

y=1;

taylor(-3*t-2*x-y,x,5...

Calculate

assume-exp-quad_qag

assume(t>0);

quad_qag (x^3/(exp(x)...

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[assume,hypergeometric,taylor]

Run Example
(%i1)assume(N>
0);
(%o1)                               [N > 0]
(%i2) taylor(hypergeometric([a,-N],[1/2-N],x),x,0,1);
                                 (2 N a) x
(%o2)/T/                     1 + --------- + . . .
                                  2 N - 1
(%i3) 
Run Example
assume(n>
0);
(%o1)                               [n > 0]
(%i2) taylor(hypergeometric([-n+1,1],[1/2-n+1],1),x,0,1);
                                            3
(%o2)/T/        hypergeometric([1, 1 - n], [- - n], 1) + . . .
                                            2
(%i3) 
Run Example
assume(n>
0);
(%o1)                               [n > 0]
(%i2) taylor(hypergeometric([-n+1,1],[1/2-n+1],x),x,0,1);
                                (2 n - 2) x
(%o2)/T/                    1 + ----------- + . . .
                                  2 n - 3
(%i3) 

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