# #lim_(h->0)(25 xx 5^h-25)/h = # ?

##### 2 Answers

#### Explanation:

This is a limit definition of a derivative.

The formula for this is:

#lim_(h->0)(f(a+h) - f(a))/h#

This tells us that

#f(a+h) = 5^(2+h)#

#f(a) = 25#

How can we figure out what

Assume

#f(x) = 5^x# This means that

#f(a+h) = 5^(2+h)#

#a+h = 2+h#

#a = 2# Now to check if this works out correctly.

#f(a) = f(2) = 5^2 = 25# , which we know is true from earlier.

Therefore, we can say that

*Final Answer*

See below.

#### Explanation:

Calling

NOTE:

As we know