Limits Continuity Differentiability Questions for AGNIVEER NAVY

Free, AI-curated practice for the Limits Continuity Differentiability section of AGNIVEER NAVY. We have 20+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

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Sample questions

Q1 · medium · AI-verified

What is the value of lim(x→0) (tan x) / x?

Q2 · easy · AI-verified

What is the value of lim(x→0) (sin x) / x?

Q3 · medium · AI-verified

If f(x) = eˣ · sin x, then f'(x) is:

eˣ(sin x − cos x)
eˣ(sin x + cos x)
eˣ · sin x · cos x
eˣ · cos x

Q4 · medium · AI-verified

Find the value of lim(x→2) (x² − 4) / (x − 2).

Q5 · hard · AI-verified

If f(x) = (x² − 4)/(x − 2) for x ≠ 2 and f(2) = k, then what value of k makes f(x) continuous at x = 2?

4
0
−4
2

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Limits Continuity Differentiability Questions for AGNIVEER NAVY

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