iCoachMath.com: Examples on Limits of Functions Involving Modulus and Greatest Integer - Limits and Their Properties - NCTM Math Framework
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Solved Examples

Curriculum: NCTM Math Framework   Click to change Curriculum

Topic: Limits and Their Properties  Click to change Topic

Lesson: Limits of Functions Involving Modulus and Greatest Integer  Click to change Lesson

Click on a 'View Solution' below for other questions:
BB  Evaluate: limx→0+ [7|x|2x]  BB View Solution
BB  Evaluate: limy→0 [11y5|y|]  BB View Solution
BB  Evaluate: limp→5+ [|p2-13p+40 |(p-5)]
  BB
View Solution
BB  Evaluate: limp→4- [(p-4)|p2-10p+24|]  BB View Solution
BB  Evaluate: limw→6-|w2-10w+24||w2-13w+42|  BB View Solution
BB  If g(x) = |x - 5| + |x - 8|, then evaluate limx→5+ g(x).
  BB
View Solution
BB  Evaluate: limz→- 6+(5z+30|10z+60|)  BB View Solution
BB  Evaluate: lima→4-(11|a-4|7a-28)  BB View Solution
BB  Evaluate: limr→0- [4-4cos 4r16-16cos 12r]
  BB
View Solution
BB  Evaluate: liml→0+9-9cos 16l8l  BB View Solution
BB  If [v] denotes the greatest integer ≤ v for all v R, then evaluate limv→7+(10[v]+14).  BB View Solution
BB  If [n] denotes the greatest integer ≤ n for all n R, then evaluate limn→3-(285[n]+6).  BB View Solution
BB  If [k] denotes the greatest integer function, then evaluate limk→8+(8[k] + 1010[k] + 11).  BB View Solution
BB  Evaluate limp→2-(4[p]+57[p]+8), if [p] denotes the greatest integer function.  BB View Solution
BB  If f(y) = 5[y] + 8, g(y) = 25[y] - 5 where [y] represents the greatest integer ≤ y, then evaluate limy→5- f(y)g(y).  BB View Solution
BB  If [l] denotes the greatest integer ≤ l for all l R, then evaluate liml→9(2[l] + 5).  BB View Solution
BB  Evaluate lims→9π2+ (9[sin s] + 47) where [s] represents the greatest integer s for all s R.  BB View Solution
BB  If [t] denotes the greatest integer ≤ t for all t R, then evaluate limt→4+[t][t].  BB View Solution
BB  
If(p) = 7sin [p]9[p]if [p] ≠ 0
= 0if [p] = 0
where [p] is the greatest
integer ≤ p for all p R, then evaluate limp→0(p).  BB
View Solution
BB  If g(t) = 40[t] sin (7t), where [t] denotes the greatest integer function, then choose the correct one from the following.
I. limt→0- g (t) = 0
II. limt→0+ g (t) = 0
III. limx→0g (t) = 0
IV. limt→0- g (t) = - ∞
V.limt→0 g(t) does not exist.
  BB
View Solution
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