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Evaluate lim(x rarr 0) (e^(bx) - 1)/x an...

Evaluate `lim_(x rarr 0) (e^(bx) - 1)/x` and `lim_(x rarr 0) (e^(ax) - 1)/x`

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A N EXCEL PUBLICATION-LIMITS AND DERIVATIVES-QUESTION BANK
  1. Evaluate lim(x rarr pi/3)(sqrt3 - tan x)/(pi - 3x)

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  2. lim(x rarr 0) (tan x- sin x)/x^3

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  3. Evaluate lim(x rarr 0) (e^(bx) - 1)/x and lim(x rarr 0) (e^(ax) - 1)/x

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  4. Evaluate lim(x rarr 0) (e^(bx) - e^(ax))/x

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  5. What is the value of lim(x rarr pi/2) cos x ?

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  6. Evaluate lim(x rarr 0) (tan x)/x

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  7. Evaluate lim(x rarr 0) (3^x - 2^x)/(tan x)

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  8. Evaluate lim(x rarr 0) (log (1 + x/5))/x

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  9. Evaluate lim(x rarr 0) (log (1 - x/5))/x

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  10. Evaluate lim(x rarr 0) (log(5+x) - log(5-x))/x

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  11. Evaluate lim(x rarr 0) (sqrt(1 + x) - 1)/x

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  12. Evaluate lim(x rarr 0) (sqrt(1 + x) - 1)/(log( 1 + x ))

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  13. Consider the function f (x) =(x^2 - 9)/(x-3), x ne 3 complete the fo...

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  14. Consider the function f (x) =(x^2 - 9)/(x-3), x ne 3 On the basis of...

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  15. Consider the function f (x) =(x^2 - 9)/(x-3), x ne 3 Find the possib...

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  16. Consider the function f(x) = (x^2 - 4)/(x - 2) Evaluate lim(x rarr 2)...

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  17. Consider the function f(x) = (x^2 - 4)/(x - 2) Find the domain and ra...

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  18. Consider the function f(x) = (x^2 - 4)/(x - 2) If lim(x rarr a) (x^4 ...

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  19. Given that lim(x rarr 0) (a^x - 1)/x = log a and lim(x rarr 0) (tan x)...

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  20. Given that lim(x rarr 0) (a^x - 1)/x = log a and lim(x rarr 0) (tan x)...

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