Limits — Important Questions
ICSE · Class 11 · Mathematics
60 important questions from Limits for ICSE Class 11 Mathematics, with answers. Includes multiple choice questions.
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Important Questions from Limits
lim_{x→3} (x² + 3x − 4) equals:
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14
Direct substitution: (3)² + 3(3) − 4 = 9 + 9 − 4 = 14.
The value of lim_{x→0} tan x / x is:
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1
Standard limit: lim_{x→0} tan x / x = 1. This follows from sin x/x = 1 and cos x → 1.
Evaluate: lim_{x→2} (x³ − 8)/(x − 2)
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12
x³−8 = (x−2)(x²+2x+4). Cancel (x−2): lim_{x→2}(x²+2x+4) = 4+4+4 = 12.
The limit lim_{x→c} f(x) exists if and only if:
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LHL = RHL
A limit exists iff the left-hand limit equals the right-hand limit (LHL = RHL = l).
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