09 Jan '16 15:361 edit

What is the proper way to find the limit of this function Y(x) as "a" → 1

Y(x) = [1/( a^n - 1)] * ( 1 - a^x ) + 1

where "n" is a constant.

Lets let the limit of Y(x) as "a" → 1 = y(x)

Graphically,I know that y(x) is linear in "x", but I cant seem to find the correct mathematical approach to get there.

Thanks

Y(x) = [1/( a^n - 1)] * ( 1 - a^x ) + 1

where "n" is a constant.

Lets let the limit of Y(x) as "a" → 1 = y(x)

Graphically,I know that y(x) is linear in "x", but I cant seem to find the correct mathematical approach to get there.

Thanks