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1) lim as x approaches to zero (sin(4x)/x cos(x))= 2) lim as x approaches to zer

ID: 2844729 • Letter: 1

Question

1) lim as x approaches to zero (sin(4x)/x cos(x))=

2) lim as x approaches to zero (1-cos(x)/6)=

3) lim as x approaches to zero (sin(x)/sin(-x))=

4) lim as x approaches to zero (cos(5x)/x)=

5) lim as x approaches to zero (cos(x)/8)=

6) lim as x approaches to zero ((sinx/x)+(2x/3sinx))

7) lim as x approaches to zero (tan(5x)/x)=

8) lim as x approaxhes 1 (sin(2x)/x)=

9) lim as x approaches zero ((x+1)sin(2x)/sin(5x))=

10) lim as x approaxhes zero (cos(h)/h)=

11) lim as x approaches zero xcsc(x)=

12) lim as x approaches zero (x/cos(x))=

13)Find the exact value of sin pi/6-sec pi/6=

14)Find (a+b)^3=

15)Which of the following is a factor of a^3+b^3

Explanation / Answer

lim as x->0 sinx/x = 1 and lim x->0 cosx = 1 using these the following limits can be obtained

1) 4

2) 0

3)-1

4)infinity

5)1/8

6)5/3

7)5

8)sin2

9)2/5

10)infinity

11)1

12)0

13)-0.65473

14)a^3+b^3+3ab*(a+b)