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e Evaluate: limp→5+ [|p2-13p+40 |(p-5)]
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e If g(x) = |x - 5| + |x - 8|, then evaluate limx→5+ g(x).
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e Evaluate: limr→0- [4-4cos 4r16-16cos 12r]
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| e If [v] denotes the greatest integer ≤ v for all v ∈ R, then evaluate limv→7+(10[v]+14). e |
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| e If [n] denotes the greatest integer ≤ n for all n ∈ R, then evaluate limn→3-(285[n]+6). e |
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| e If [k] denotes the greatest integer function, then evaluate limk→8+(8[k] + 1010[k] + 11). e |
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| e Evaluate limp→2-(4[p]+57[p]+8), if [p] denotes the greatest integer function. e |
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| e 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). B |
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| B If [l] denotes the greatest integer ≤ l for all l ∈ R, then evaluate liml→9(2[l] + 5). B |
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| B Evaluate lims→9π2+ (9[sin s] + 47) where [s] represents the greatest integer ≤ s for all s ∈ R. B |
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| B If [t] denotes the greatest integer ≤ t for all t ∈ R, then evaluate limt→4+[t][t]. B |
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B | If | f (p) | = 7sin [p]9[p] | if [p] ≠ 0 | | | = 0 | if [p] = 0 |
where [p] is the greatest integer ≤ p for all p ∈ R, then evaluate limp→0f (p). B |
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B 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.
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