Use properties of limits and algebraic methods to find the limit, if it exists. (if the limit is infinite, enter '∞' or '-∞', as appropriate. if the limit does not otherwise exist, enter dne.) lim x→5 x2 − 25 x − 5

General Formulas and Concepts:

Algebra I

Calculus

Limits

Limit Rule [Constant]:                                                                                            

Limit Rule [Variable Direct Substitution]:                                                            

Limit Property [Addition/Subtraction]:                                                                  

Step-by-step explanation:

Step 1: Define

Identify

Step 2: Find Limit

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Limits

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.