Limits
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Find the limit
lim 3e^2x - 3
x→0 ¯¯¯¯x¯¯¯¯
by recognizing it as a derivative f'(a) of the appropriate function at a suitable value of a. Please specify the function f in the answer - numerical computation of the limit is not enough.
(^ means exponent and 3e^2x - 3 is over x).
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The solution assists with finding the limit.
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f(x) = 3e^2x
f(0) = 1
lim 3e^2x - 3
x→ 0 ¯¯¯¯x¯¯¯¯ =
= lim f(x) - f(0)
x→ 0 ¯¯¯¯x¯- 0¯¯¯
Let assume:
u = 2x
x ...
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