Limits And Continuity — Practice Quiz
Telangana Open School (TOSS) · Class 12 · Mathematics
Try a 4-question quiz on Limits And Continuity for Telangana Open School (TOSS) Class 12 Mathematics: tap an answer to check it and see why.
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Quick Quiz: Limits And Continuity
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What is the value of \( \lim_{x \to 0} \frac{\sin x}{x} \)?
If \( f(x) = 3x + 2 \), what is \( \lim_{x \to 1} f(x) \)?
Which of the following is a closed interval?
What is \( \lim_{x \to 0} \frac{e^x - 1}{x} \)?
Sample Questions
The function \( f(x) = \frac{1}{x} \) is not defined at which point?
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x = 0
Division by zero is undefined, so \( f(x) = \frac{1}{x} \) is not defined at \( x = 0 \).
What is \( \lim_{x \to 2} (x^2 - 4) \)?
Which of the following is an open interval?
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(0, 5)
An open interval excludes both endpoints and is denoted by parentheses.
What is \( \lim_{x \to 0} \cos x \)?
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1
As \( x \to 0 \), \( \cos x \to 1 \). This is a standard limit.
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