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Evaluate lim(x to 0) ("sin"(5x)/(4))/(x...

Evaluate `lim_(x to 0) ("sin"(5x)/(4))/(x^(2))`

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The correct Answer is:
`(25)/(16)`
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AAKASH INSTITUTE-LIMITS AND DERIVATIVES -Try yourself
  1. Evaluate lim(x to 0) ("sin"ax)/(x)

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  2. Evaluate lim(x to 0) ("sin"^(2) 4x)/(x^(2))

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  3. Evaluate lim(x to 0) ("sin"(5x)/(4))/(x^(2))

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  4. Evaluate lim(x to 0) ("sin"^(2) ax)/("sin"^(2) bx)

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  5. Evaluate lim(x to 0) ("sin"5x)/("sin"7x)

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  6. Evaluate lim(x to 0) (1 - cos 2x)/(x)

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  7. Evaluate lim(x to 0) (1 - cos ax)/(1 - cos bx)

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  8. Evaluate lim(x to 0) (tan x - "sin" x)/(x^(3))

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  9. Evaluate lim(x to 0) (x^(3) cot x)/(1 - cos x)

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  10. Evaluate lim(x to (pi)/(4)) ("sin" x - cos x)/(x - (pi)/(4))

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  11. Evaluate lim(x to (pi)/(4)) (cos x - "sin" x)/(cos 2x)

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  12. Find the derivative of f(x) = x^(3) + 1 at x = - 1

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  13. Find the derivative of f(x) = 2 x^(3) + 3x^(2) + 5x + 9 at x = 2

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  14. Find the derivative of sqrt(3x + 5) using first principle of derivativ...

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  15. Find the derivative of x^(2) + 5x + 3 using first principle of derivat...

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  16. Find the derivative of (3x - 2) (x + 1) using first principle of deriv...

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  17. Find the derivative of (2x + 3)/(4x + 1) using first principle of deri...

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  18. Find the derivative of e^(7 x - 2) using first principle of derivative

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  19. Find the derivative of e^(x^(2)-5x) using first principle of derivativ...

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  20. Find the derivative of sin(4x - 1) using first principle of derivative

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