Indeterminate Forms — Important Questions
ICSE · Class 12 · Mathematics
127 important questions from Indeterminate Forms for ICSE Class 12 Mathematics, with answers. Includes mcq, multiple choice and multiple correct questions.
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Important Questions from Indeterminate Forms
Which of the following is an indeterminate form?
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0/0
0/0 is an indeterminate form because knowing both limits are 0 is not enough to determine the overall limit. 1/0 is ∞ (not indeterminate), and 0/1 = 0.
How many standard indeterminate forms are there?
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7
There are 7 indeterminate forms: 0/0, ∞/∞, 0·∞, ∞-∞, 0⁰, ∞⁰, and 1^∞.
L'Hôpital's Rule is applicable to which types of indeterminate forms directly?
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0/0 and ∞/∞
L'Hôpital's Rule is directly applicable to 0/0 and ∞/∞ forms. Other forms must first be converted to one of these.
Using L'Hôpital's Rule, evaluate lim[x→0] (eˣ - 1)/x.
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1
0/0 form. L'Hôpital: lim eˣ/1 = e⁰ = 1.
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