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Limit of a function

Reason Using Properties From Alegebra

Subject: 
Geometry
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Functions and mappings
Limit of a function

??? ? ,ESSON?????s?'EOMETRY?.OTETAKING?'UIDE? #OPYRIGHT???-C$OUGAL?,ITTELL?(OUGHTON?-IFFLIN?#OMPANY? ??? 2EASON?5SING?0ROPERTIES?? FROM?!LGEBRA 'OAL? +?5SE?ALGEBRAIC?PROPERTIES?IN?LOGICAL?ARGUMENTS? !,'%"2!)#?02/0%24)%3?/&?%15!,)49 ,ET?A??B??AND?C?BE?REAL?NUMBERS? !DDITION?0ROPERTY? )F?A???B??THEN?? >???V???L???V? ? 3UBTRACTION?0ROPERTY? )F?A???B??THEN?? >???V???L???V? ? -ULTIPLICATION?0ROPERTY? )F?A???B??THEN?? >V???LV? ? $IVISION?0ROPERTY? )F?A???B?AND?Czsz???THEN?? ??>?]zV??????? L?]zV??? ? 3UBSTITUTION?0ROPERTY? ?)F?A???B??THEN?? >?V>??Li? ??L??????i`?v???L????>??? i??>????????i???i?????? ? 9OUR?.OTES 3OLVE??X???????????X??7RITE?A?REASON?FOR?EACH?STEP? ? %QUATION? %XPLANATION? 2EASON ? ?X???????????X? 7RITE?? 'IVEN? ? ? ORIGINAL? ? ? ? EQUATION?

bccalcclassact1alimitslhopitals

Subject: 
Calculus
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Functions and mappings
Human development
Interpersonal relationships
Psychoanalysis
AP Calculus
Calculus
Limit of a function
Attachment theory
L'Hôpital's rule

Name:________________________ Date:________________________ AP Calculus BC Class Activity 1a: Limits and L?Hopital?s Rule Evaluate the following limits: Use L'Hopital's Rule to evaluate the following:
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AP calc pre req practice test

Subject: 
Calculus
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Functions and mappings
Analytic geometry
Asymptote
Mathematical analysis
Limit of a function

AP Calculus AB Name:________________________________________ AP Problem Set: Prerequisites and Limits Signature (indicating you worked alone):___________________________________________ No calculator allowed. ALL WORK MUST BE COMPLETED ON A SEPARATE SHEET OF PAPER IN NUMERICAL ORDER WITH THIS SHEET STAPLED BEHIND IT. If I can?t read it, you will earn a 0 on this assignment. If your work does not support your answer choice, you will earn a 0 on this assignment! 1. If , then the inverse function, , is given by (A) (B) (C) (D) (E) 2. Which of the following function are continuous for all real numbers x? I. II. III. (A) None (B) I only (C) II only (D) I and II (E) I and III

ap calculus

Subject: 
Calculus
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Functions and mappings
Differential calculus
rates
derivative
Mathematical analysis
integral
Differentiation rules
Antiderivative
Critical point
Limit of a function
Mean value theorem
Newton's method

Rahn ? 2008 AP Calculus ? Final Review Sheet When you see the words ?. This is what you think of doing 1. Find the zeros of a function. Set the function equal to zero and solve for x. 2. Find equation of the line tangent to f(x) at (a,f(a)). Find f ?(x),the derivative of f(x). Evaluate f ?(a). Use the point and the slope to write the equation: y= f ?(a)(x-a)+f(a) 3. Find equation of the line normal to f(x) at (a,f(a)). Find f ?(x),the derivative of f(x). Evaluate f ?(a). The slope of the normal line is 1 '( )f a ? . Use the point and the slope to write the equation: ( ) ( ) ( ) 1 y x a f a f ? a = ? + 4. Show that f(x) is even. Evaluate f at x = -a and x = a and show they are equal.
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