Math Problem Statement
Consider a function f : R → R f:R→R defined as f ( x )
{ sin 17 x + A sin x 15 x 3 if x ≠ 0 , B if x
f(x)={ 15x 3
sin17x+Asinx
B
if x =0, if x=0. If f ( x ) f(x) is continuous at x
0 x=0 , then find the value of 90 B − A 90B−A
Solution
To determine the value of , we must ensure that the function is continuous at . Continuity at implies that the limit of ( f(x) \
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Math Problem Analysis
Mathematical Concepts
Function continuity
Limits
Piecewise functions
Formulas
-
Theorems
Continuity of functions
Suitable Grade Level
College level
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