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Limits. Basic. Divergence. 1.\:\:\lim _ {x\to 0} (\frac {1} {x}) 2.\:\:\lim _ {x\to 5} (\frac {10} {x-5}) 3.\:\:\lim _ {x\to 1} (\frac {x} {x-1}) 4.\:\:\lim _ {x\to -2} (\frac {1} {x+2}) 5.\:\:\lim _ {x\to 5} (\frac {x} {x^2-25}) 6.\:\:\lim _ {x\to 2}\frac {|x-2|} {x-2}
Find an example of a function such that the limit exists at every x, but that has an in nite number of discontinuities. (You can describe the function and/or write a
AP Calculus AB – Worksheet 7 Introduction to Limits There are no great limits to growth because there are no limits of human intelligence, imagination, and wonder. – Ronald Reagan Answer the following questions. 1 For the function f x x2 fx5, as the x-value gets closer and closer to 3, gets closer and closer to what value? 2
Notice that the limits on this worksheet can be evaluated using direct substitution, but the purpose of the problems here is to give you practice at using the Limit Laws.
Introduction to Differential Equations. Separable Equations. Exponential Growth and Decay. Free Calculus worksheets created with Infinite Calculus. Printable in convenient PDF format.
12) Give an example of a limit of a quadratic function where the limit evaluates to 9. Worksheet by Kuta Software LLC. Kuta Software - Infinite Calculus.
CALCULUS AB WORKSHEET 1 ON LIMITS. Work the following on notebook paper. No calculator. 1. The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does not exist, explain why. ( a ) lim ⎡ ⎣ f ( x g ( x. x → 2. ( ) c lim ⎡ f x g x ⎤. x → 0 ⎣ ( ) ( ) ⎦. ( b ) lim f. → 1 ⎡ ⎣ ( x g ( x ) ⎤ ⎦. ( x ) lim ( )
