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Limits, Transform – HP Prime Graphing Wireless Calculator User Manual

Page 125

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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)