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Question
Evaluate the following Limits: `lim_(x -> 0)[(5^x - 1)/x]`
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Solution
`lim_(x -> 0)[(5^x - 1)/x]`
= log 5 ...`[lim_(x -> 0) ("a"^x - 1)/x = log "a"]`
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\[\lim_{x\to0}\frac{\mathrm{e}^{\tan x}-\mathrm{e}^{x}}{\tan x-x}=\]
