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

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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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