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For what value of lambda is the function...

For what value of `lambda` is the function defined by `f(x)={(lambda(x^2-2x),,,, if xle0),(4x+1,,,, if x>0):}` continuous at `x = 0`? What about continuity at `x = 1`?

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PSEB-CONTINUITY AND DIFFERENTIABILITY-Exercise
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  2. Find the relationship between a and b so that the function f defined b...

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  3. For what value of lambda is the function defined by f(x)={(lambda(x^2...

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  4. Show that the function defined by g(x) = x-[x] is discontinuous at al...

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

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  6. Discuss the continuity of the following function: f(x) = sinx + cosx

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  7. Discuss the continuity of the following function: f(x) = sinx - cosx

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  8. Discuss the continuity of the following function: f(x) = sinx cdot cos...

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  9. Discuss the continuity of the cosine, cosecant, secant and cotangent f...

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  10. Find all points of discontinuity of f, where: f(x)={(sinx/x,,,, if x <...

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  11. Determine if f defined by : f(x)={(x^2sin(1/x),,,, if x ne0),(0,,,, if...

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  12. Examine the continuity of f, where f is defined by : f(x)={(sinx-cosx,...

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  13. Find the values of k so that the function f is continuous at the indic...

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  14. Find the values of k so that the function f is continuous at the indic...

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

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

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

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

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  19. Show that the function defined by f(x) = |cosx| is a continuous functi...

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  20. Examine the continuity of the function 'f' at x = 0, if f(x) ={(x sin(...

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