Limits, Transform – HP Prime Graphing Wireless Calculator User Manual
Page 125
Functions and commands
121
F(b)–F(a)
Returns F(b)–F(a).
preval(Expr(F(var)),Real(a),Real(b),[Var])
Example:
preval(x^2-2,2,3)
gives
5
Limits
Riemann Sum
Returns an equivalent of the sum of Expr for var2 from var2=1
to var2=var1 (in the neighborhood of n=+∞) when the sum is
looked at as a Riemann sum associated with a continuous
function defined on [0,1].
sum_riemann(Expr, [Var1 Var2])
Example:
sum_riemann(1/(n+k),[n,k])
gives
ln(2)
Taylor
Returns the Taylor series expansion of an expression at a point
or at infinity (by default, at x=0 and with relative order=5).
taylor(Expr,[Var=Value],[Order])
Example:
taylor(sin(x)/x,x=0)
returns
1-(1/6)*x^2+(1/
120)*x^4+x^6*order_size(x)
Taylor of Quotient
Returns the n-degree Taylor polynomial for the quotient of 2
polynomials.
divpc(Poly1,Poly2,Integer)
Example:
divpc(x^4+x+2,x^2+1,5)
returns the 5th-degree
polynomial
x^5+3*x^4-x^3-2*x^2+x+2
Transform
Laplace
Returns the Laplace transform of an expression.
laplace(Expr,[Var],[LapVar])
Example:
laplace(exp(x)*sin(x))
gives
1/(x^2-2*x+2)