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L'Hospital's Rule - Calculus

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Overview

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This course works through limits involving logarithmic, exponential, trigonometric, and power functions using L'Hospital's Rule, including cases requiring careful handling of indeterminate forms.

Syllabus

Q109, limit of cos(x)/(1-sin(x)).
Q110, limit of (e^(2t)-1)/sin(t) as t goes to 0.
limit of ln(x)/sqrt(x) as x goes to infinity, L'Hospital's Rule.
limit of (8^t - 5^t)/t as t goes to 0, L'Hospital's Rule.
limit of (e^x-1-x)/x^2 as x goes to 0, L'Hospital's Rule.
Q118, limit of (ln(x))^2/x as x goes to infinity, L'Hospital's Rule.
limit of x^3*e^(-x^2) as x goes to infinity, L'Hospital's Rule.
limit of x*tan(1/x) as x goes to infinity, L'Hospital's Rule.
Q114, Limit of x/(x-1)-1/ln(x) as x goes to 1, L'Hospital's Rule.
Limit of 1/x-1/(e^x-1) as x goes to 0+.
Q111, Limit of ln(x^7-1)-ln(x^5-1) as x goes to 1+.
Limit of (1-2x)^(1/x) as x goes to 0, L'Hospital's Rule.
Limit of (1+sin(4x))^(cot(x)) as x goes to 0+, L'Hospital's Rule.
Q122, Limit of ln(x)/x^p as x goes to infinity, L'Hospital's Rule,.
Q120, Be Careful with L'Hospital's Rule.
Q117, 0^inf vs inf^0.
Q116, Limit of x^(1/(1-x) as x goes to 1+, L'Hospital's Rule.
limit ln(x^8-1)/ln(x^2-1) as x goes to infinity, L'Hospital's Rule.
limit (tan(x)-x)/x^3 as x goes to 0, L'Hospital's Rule.
limit ln(x^8-1)-ln(x^2-1) as x goes to 1+, L'Hospital's Rule.
limit of ln(x)/x as x goes to 0+, do we need L'Hospital's Rule?.
Q119, limit of e^x*sin(1/x) as x goes to infinity.
Limit of ln(x^7-1)/ln(x^5-1) as x goes to 1+.
L'hospital Rule: limit of x^p*ln(x).

Taught by

blackpenredpen

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