بارہویں جماعت · ریاضی · 8 سوالات
نام: ____________________ تاریخ: ____________
The limit of (x² - 1) / (x - 1) as x tends to 1 is:
The limit of sin x / x as x tends to 0 is:
The limit of (3x + 2) as x tends to 2 is:
A function f is continuous at x = a if the limit as x tends to a equals:
The limit of (1 + 1/n)^n as n tends to infinity is:
The limit of 5 as x tends to 3 is:
The limit of (x² - 4) / (x - 2) as x tends to 2 is:
A function is not continuous at a point if:
1. B, 2. A, 3. D, 4. B, 5. D, 6. D, 7. A, 8. C
(x + 1)(x - 1) / (x - 1) = x + 1, which tends to 2.
This is a standard limit equal to 1.
Substitute x = 2: 6 + 2 = 8.
Continuity needs the limit to equal the function's value.
This is the definition of the number e.
The limit of a constant is the constant.
It simplifies to x + 2.
A break or jump shows discontinuity.