If the results are exactly the same, then the limit is the result Otherwise the limit doesn't exist.

Replace cos(x) to ☑ in the equation, 3/☑.

Get that right side 3/-1 = -1 and left side 3/1 =1 is not equal.

Know that -1 ≦ cos(x) ≦ 1, so we can tweak it to apply the squeeze theorem to get its limit.

The KEY point is to apply the Squeeze theorem, and it is a MUST.

Calculate the Square root: Need to find limits for EACH term inside the square root.

Calculate separately the limit of Numerator & Dominator:.

Divide by highest dominator power to get:.The KEY point is to calculate both numerator & dominator, then calculate the limit of EACH term with in the square root. Refer to previous note on the How to find Asymptote. Just the same with Finding the Asymptote. The KEY point is to look at the powers & coefficients of Numerator & Dominator.

The best way is to read the Step-by-Step Solution from Symbolab: No matter why kinds of Limits you're looking for,

Polar Curve Functions (Differential Calc)).

Analyze Function Behaviors with Derivatives.

Limit properties & Limits of Combined Functions.

Applying derivatives to analyze functions.

Contextual applications of differentiation.

Differentiation: composite, implicit, and inverse functions.

Differentiation: definition and basic derivative rules.

Practice To-do List (Linked with Unit tests)

HARMONIC FREQUENCY RESPONSE: VARIABLE INPUT FREQUENCY.

Coursera: Mathematics for Machine Learning: Multivariate Calculus.

MIT OCW 18.02SC: Multivariable Calculus.

MIT OCW 18.01SC: Single Variable Calculus.

The Organic Chemistry Tutor: New Calculus Playlist.Kristan King: Calculus III (Multivariable Calculus).Kristan King: Calculus II (Integral Calculus).

Kristan King: Calculus I (Differential Calculus).

Khan academy integral calculus