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Consider the function f(x)={(sinx/x, x<0...

Consider the function `f(x)={(sinx/x, x<0),(x+1,xge0):}`
Is `f(x)` continuous at `x=0` ?

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MAXIMUM PUBLICATION-CONTINUITY & DIFFERENTIABILITY-EXAMPLE
  1. If f(x)=x+abs(x)+1 test whether f(x) is continous at x=0 Explain.

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  2. Consider the function f(x)={(sinx/x, x<0),(x+1,xge0):} Find lim(xrar...

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  3. Consider the function f(x)={(sinx/x, x<0),(x+1,xge0):} Is f(x) conti...

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  4. Consider the figure and answer the question. Identify the graphed fu...

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  5. Consider the figure and answer the question. Identify the graphed fu...

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  6. Consider the figure and answer the question. Identify the graphed fu...

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  7. Consider the figure and answer the question. Identify the graphed fu...

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  8. Consider the figure and answer the question. Discuss the continuity ...

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  9. Consider f(x)={(2x,if,x<2),(2,if,x=2),(x^2,if,x>2):} Find lim(xrarr2...

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  10. Consider f(x)={(2x,if,x<2),(2,if,x=2),(x^2,if,x>2):} f(x) is continu...

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  11. If y=log(10)x+log(x)10+log(x)x+log(10)10 then dy/dx= ?

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  12. Examine the continuity of the function <be> f(x)={(x+1,xge1),(x^2+1,x<...

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  13. Find dy/dx of the following 2x+3y=sinx

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  14. Find dy/dx of the following xy+y^2=tanx+y

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  15. Find dy/dx of the following x^3+x^2y+xy^2+y^3=81

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  16. Find dy/dx of the following sin^2x+cos^2y=1

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  17. Find dy/dx of the following sqrtx+sqrty=1

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  18. Find dy/dx of the following x^2+xy+y=100

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  19. Find dy/dx of the following x^2(x-y)=y^2(x+y)

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  20. Find dy/dx of the following xy^2+x^2y=2

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