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f(x) {{:(-2"," if x le -1),(2x"," if -1l...

`f(x) {{:(-2"," if x le -1),(2x"," if -1lt x le 1),(2"," if x gt 1):}`

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f(x)= {(-2",","if" x le -1),(2x",","if" -1 lt x le 1),(2",","if " x gt 1):}

f(x)= {(2x",","if" x lt 0),(0",","if" 0 le x le 1),(4x",","if" x gt 1):}

f(x)= {(|x|+3",","if" x le -3),(-2x",","if"-3 lt x lt 3),(6x + 2 ",","if " x ge 3):}

f(x)= {(2x+3",","if" x le 2),(2x-3",","if" x gt 2):}

Suppose f(x) = {{:(a+bx "," x lt 1),(4 "," " "x=1),(b-ax "," x gt 1):}

If a function f(x) is defined as f(x) = {{:(-x",",x lt 0),(x^(2)",",0 le x le 1),(x^(2)-x + 1",",x gt 1):} then

f(x)= {(x^(10)-1",","if" x le 1),(x^(2)",","if" x gt 1):}

NCERT GUJARATI-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5.1
  1. Discuss the continuity of the function f, where f is defined by f(x){{...

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  2. f(x){{:(2x "," if x lt 0 ),(0"," if 0 le x le 1),(4x "," if x gt 1 ):}

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  3. f(x) {{:(-2"," if x le -1),(2x"," if -1lt x le 1),(2"," if x gt 1):}

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  4. Find the relationship between a and b so that the function f defined b...

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  5. For what value of lambdais the function defined by f(x)={lambda(x^2-2...

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  6. Show that the function defined by g(x)=x-[x] is discontinuous at all i...

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  7. Is the function defined by f(x)=x^2-sinx+5continuous at x=pi?

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  8. Discuss the continuity of the following functions a) f(x)=sinx+cosx

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  9. Discuss the continuity of the following functions a) f(x)=sinx+cosx

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  10. Discuss the continuity of the following functions a) f(x)=sinx+cosx

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  11. Discuss the continuity of the cosine, cosecant, secant and cotangen...

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  12. Find all points of discontinuity of f, wheref(x)={(sinx)/x , ifx<0x+1,...

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  13. Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(...

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  14. Examine the continuity of f, where f is defined byf(x)={sinx-cosx , if...

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  15. Find the values of k so that the function f is continuous at the in...

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  16. Find the values of k so that the function f is continuous at the in...

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  17. Find the values of k so that the function f is continuous at the in...

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  18. Find the values of k so that the function f is continuous at the indi...

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  19. Find the values of a and b such that the function defined by f(x)={...

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  20. Show that the function defined by f(x)=cos(x^2)is a continuous functi...

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