Estimate the values of limit (tan 2x)/(sin x) as x approaches 0; Estimate the values of limit (tan 3x)/(sin x) as x approaches 0; Estimate the values of limit (tan 4x)/(sin x) as x approaches 0. Make a conjecture about the value of limit (tan nx)/(sin x) as x approaches 0.

Q: sin(x-y) sin(x+y) tan x-tan y tan x+tan y ||

A: The given statement is: sin(x-y)sin(x+y)=tan x-tan ytan x+tan y

Q: Does cot(x) + tan(x) = csc(x) * sec(x) ?

A:

Q: Evaluate tan" (32) sec"(3e) dz. sec" (Зa) da.

A: Here we integrate using substitution method.

Q: Let the function f be defined by tan(x) 1 (x) - sec(x) S"() = -.Write a number.

A:

Q: tantx + CosX-Stcx = SeC %3D COSX

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.