evaluate the limits.
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Answered by
1
Answer:
lim (a^x - b^x) /x = ln(a/b) or log(a/b)
x->0
Explanation:
=> (a^x−b^x) /x = (a^x−1) /x − (b^x−1) /x
={a^(0+x)−a^0} /x − {b^(0+x) −b^0} /x
Now
lim (a^x + b^x) /x = [ lim {a^(0+x) - a^0}/x -
x->0. . . . . . . . . . . . . x ->0
lim {b^(0+x) - b^0}/x ] = ln a - ln b =ln(a/b)
x->0
Hope it will help you.....
Answered by
0
Answer:
Step-by-step explanation:
solving these by l hospitals rule
differentiating numerator and denominator w r t x
we get
a power x log a - b power x log b
substitute x=0
log a- log b
log (a/b)
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