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Can a convenient value for

EDIT: I am trying to indicate, "as h approaches zero".

EDIT: neither of the formattings worked; hopefully someone understands what I am asking?

Lim[tex]_{h\rightarrow\0}[/tex][tex]\frac{a

In case that formatting failed, an attempt at rewriting it is:

Lim

The most desired value for this limit is 1, and the suitalbe value for

*a*be found without resorting to substituting numerical values for*h*in this expression?EDIT: I am trying to indicate, "as h approaches zero".

EDIT: neither of the formattings worked; hopefully someone understands what I am asking?

Lim[tex]_{h\rightarrow\0}[/tex][tex]\frac{a

^{x}-1}{h}[/tex]In case that formatting failed, an attempt at rewriting it is:

Lim

_{h[tex]\rightarrow[/tex]0}[tex]\frac{a^{x}-1}{h}[/tex]The most desired value for this limit is 1, and the suitalbe value for

*a*would need to be*a = e*. I have seen this accomplished using numerical value substitutions , but can the same be accomplished using purely symbolic steps, without any numerical value subsitutions?
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