HP Prime Graphing Wireless Calculator Instrukcja Użytkownika Pobierz pdf (Strona 415)

100

101

Example:

diff(x^3-x) gives 3*x^2-1

Integrate

Returns the integral of an expression. With one expression as argument, returns the indenite integral with

respect to x. With the optional second, third, and fourth arguments, you can specify the variable of

integration and the bounds for a denite integral.

int(Expr,[Var(x)],[Real(a)],[Real(b)])

Example:

int(1/x) gives ln(abs(x))

Limit

Returns the limit of an expression when the variable approaches a limit point a or +/– innity. With the

optional fourth argument you can specify whether it is the limit from below, above or bidirectional (–1 for

limit from below, +1 for limit from above, and 0 for bidirectional limit). If the fourth argument is not provided,

the limit returned is bidirectional. The limit function can return ±∞, which refers to complex innity, an innite

number in the complex plane whose argument is unknown. In the context of a limit, complex innity is usually

construed as meaning the limit is undened.

limit(Expr,Var,Val,[Dir(1, 0, -1)])

Example:

limit((n*tan(x)-tan(n*x))/(sin(n*x)-n*sin(x)),x,0) returns 2

For example, lim(1/x, x, 0) returns ±∞; this is mathematically correct and in this case indicates the limit is

undened.

Series

Returns the series expansion of an expression in the vicinity of a given equality variable. With the optional

third and fourth arguments you can specify the order and direction of the series expansion. If no order is

specied the series returned is fth order. If no direction is specied, the series is bidirectional.

series(Expr,Equal(var=limit_point),[Order],[Dir(1,0,-1)])

Example:

series((x^4+x+2)/(x^2+1),x=0,5) gives 2+x-2x^2-x^3+3x^4+x^5+x^6*order_size(x)

Summation

Returns the discrete sum of Expr with respect to the variable Var from Real1 to Real2. You can also use the

summation template in the Template menu. With only the rst two arguments, returns the discrete

antiderivative of the expression with respect to the variable.

sum(Expr,Var,Real1, Real2,[Step])

Example:

sum(n^2,n,1,5) returns 55

CAS menu 367

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