1443.sagews

x^3+1/(x-1)^2-150/(1+(x+3)^4)

1/(x - 1)^2 - 150/((x + 3)^4 + 1) + x^3

plot([x^3+1/(x-1)^2-150/(1+(x+3)^4)],(x,-2,2)).show(ymin=-10,ymax=20)

plot(x^2*sin(x),x,-10,10)

plot([(1/x)*sin(20*x),1/x,-1/x],x,-1,1).show(ymin=-10, ymax=20)

fact(x)=gamma(x+1)

plot(fact(x),x,-10,10).show(ymin=-20, ymax=20)

plot(x^2,(x,-10,10))

p1=plot(x^2,(x,-10,10),color='green')
p2=plot(fact(x),x,-10,10)
show(p1+p2, ymin=-20, ymax=20)

find_root(fact(x)==x^2,0,2)

1.0

print(1.0.n(digits=11))

1.0000000000

find_root(fact(x)==x^2,3,4)

3.562382285391303

find_root(fact(x)==x^2,-2.2,-2.5)

-2.2003917826105948

fact(1/2)

1/2*sqrt(pi)

YES, I AM SURPRISED

fact(x)=gamma(x+1)

Traceback (most recent call last): File "<stdin>", line 1, in <module> File "_sage_input_4.py", line 4, in <module> exec compile(ur'open("___code___.py","w").write("# -*- coding: utf-8 -*-\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZmFjdCgtMS8yKQ=="),globals())+"\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single') File "", line 1, in <module> File "/tmp/tmphBxyUr/___code___.py", line 3, in <module> exec compile(ur'fact(-_sage_const_1 /_sage_const_2 )' + '\n', '', 'single') File "", line 1, in <module> NameError: name 'fact' is not defined

SURPRISED AGAIN

fact(-1/2)