This course on L'Hospital's Rule in calculus aims to teach students how to solve various limit problems using the rule. The course covers a range of problems involving trigonometric functions, exponential functions, logarithmic functions, and rational functions. Students will learn how to apply L'Hospital's Rule to indeterminate forms and evaluate limits effectively. The teaching method involves presenting specific problem scenarios and guiding students through the application of the rule step by step. This course is intended for learners studying calculus who want to deepen their understanding of limits and improve their problem-solving skills in calculus.
Overview
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
