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

ID: 2844740 • 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

Let me explain with slight explanation.

1. 4 * (tending to zero) / (tending to zero) * (tending to 1) = 4

2. 1 - (tending to 1) / 6 = ( 5 / 6)

3. (tending to zero) / -(tending to zero) = -1

4. (tending to 1) / (tending to zero) = limit not defined .

// cos 5x = cos 5*(tending to zero) = (tending to 1)

5. 1/8

6. 1 + 2/3 = 5/3

7. 5

8. sin(2)

9. 2/5

10. limit not defined.

11. 1

12. 0

13. 1/2 - 2/root(3)

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

15. (a+b)^3 - 3ab(a+b)

for further query contact me on ashishkguptaiit.cse@gmail.com

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