Mathematics Limit Questions

What is the limit of the function f(x) as x approaches π/4?

• -∞

• -1

• 0

• 1

• ∞

What is the value of 23×lim(x→-12π)f(x)+lim(x→0)f(x)?

• -4

• -43

• 0

• 43

• 4

Which statements are true regarding the limit of a trigonometric function?

• (1), (2), (3) and (4)

• (1), (2) and (4)

• (1), (3) and (4)

• (1) and (4)

• (1) only

What is the limit of the function p(x) as x approaches 0 if f(x)=3sin(x), g(x)=cos(x), and h(x)=4x?

• 14

• 34

• 32

• 1

• ∞

What is the limit of the function p(x) as x approaches 0 if f(x)=sin(2x), g(x)=tan(x), and h(x)=2x?

• 53

• 2

• 103

• 258

• 5

What is the limit of the function h(x) as x approaches 0 if f(x)=2x²+4x and g(x)=tan(2x)?

• 0

• 1

• 2

• 3

• 4

What is the limit of the function h(x) as x approaches 0 if f(x)=3csc²(x) and g(x)=4cot³(x)?

• 13

• 23

• 34

• 89

• 98

What is the limit of the function h(x) as x approaches 1 if f(x)=4sin²(x-1) and g(x)=x²-2x+1?

• 4

• 3

• 2

• 1

• 0

What is the limit of the function h(x) as x approaches 4 if f(x)=tan(x-2) and g(x)=23x-x-2?

• -23

• -12

• 0

• 12

• 23

What is the value of lim(x→3)sin(f(x)g(x))?

• 1

• 14

• 0

• -14

• -1