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Given that lim(x rarr 0) (a^x - 1)/x = l...

Given that `lim_(x rarr 0) (a^x - 1)/x = log a` and `lim_(x rarr 0) (tan x)/x = 1`
Evaluate `lim_(x rarr 0) (5^x - 1)/x`

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`log_e 5`
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A N EXCEL PUBLICATION-LIMITS AND DERIVATIVES-QUESTION BANK
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  3. Given that lim(x rarr 0) (a^x - 1)/x = log a and lim(x rarr 0) (tan x)...

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

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  5. Evaluate lim(x rarr 0) [(10^x - 2^x - 5^x + 1)/( x tanx)]

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  6. Find the derivative of the function f(x) = 2x^2 + 3x + 5 at x = 1

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  7. (a)Find the derivative of sin x+cos x from first principle

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  10. Find the derivative of x at x = 1

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  15. If f(x)=x^(100)/100+x^(99)/99+......+x^2/2+x+1 prove that f'(1)=100f'...

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  16. Find the derivative of x^n + ax^(n-1) + a^2x^(n-2) + ...+ a^(n-1)x + a...

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