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Consider the function f(x) = { ((x^2 - 4...

Consider the function f(x) = `{ ((x^2 - 4)/abs(x-2) : x ne 2), (2 : x = 2) :}`
Does the `lim_(x rarr 2)` f (x) exist ? explain.

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A N EXCEL PUBLICATION-LIMITS AND DERIVATIVES-QUESTION BANK
  1. Find the derivative of the following functions 2 tan x - 7 sec x

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  2. Consider the function f(x) = { ((x^2 - 4)/abs(x-2) : x ne 2), (2 : x =...

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  3. Consider the function f(x) = { ((x^2 - 4)/abs(x-2) : x ne 2), (2 : x =...

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  4. Given that d/(dx) (c1u1 +- c2u2 +- .........+- cnun) = c1d/(dx)(u1) +-...

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  5. Given that d/(dx) (c1u1 +- c2u2 +- .........+- cnun) = c1d/(dx)(u1) +-...

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  6. Fill in the blanks d/(dx) (2x + 3) = ..................

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  7. Fill in the blanks d/(dx) (5x^2 - 7x +1)=..............

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  8. Using product rule differentiate (2x + 3)(5x^2 - 7x + 1) w.r.t. x

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  9. Expand (2x + 3)(5x^2 - 7x +1) as a single polynomial and differentiate...

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  10. Sajan finds the derivate of two functions f(x) =x^2 + cos x and g(x) =...

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  11. Fill in the blanks d/(dx) (cos x) =....

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  12. d/dx(tan x)=………

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  13. Express (8 cos^2 x + 11 sin x)/(cos x) as the sum of function and henc...

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  14. If sin (x + y) =1/2 , prove that y = sin^-1 (1/2) - x

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  15. Prove that (dy)/(dx)= -1

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  16. What are the values of d/(dx) (cos x) and d/(dx) ( tan x)

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  17. Using the product rule and the relation tan x cos x = sin x , find d/(...

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  18. Writing cos x = (sin x)/(tan x) and apply quotient rule find d/(dx) (c...

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  19. Differentiate 1-2 tan x w.r.t.x

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  20. Differentiate 5 + 4 sin x w.r.t.x

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