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Examine the continuity of the function f...

Examine the continuity of the function `f(x)=2x^2-1`at `x = 3`.

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We have f(x)=`2x^2-1`
At `x=3,f(x)=f(3)=2(3)^2-1=17`
and `lim_(xrarr3)f(x)=lim_(xrarr3)(2x^2-1)=2(3)^2-1=17`
Clearly `lim_(xrarr3)f(x)=f(3)`
Thus,f is continous at x=3.
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NCERT ENGLISH-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5.1
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  9. Is the function defined by f(x)={{:(x+5, ifxlt=1),(x-5, ifx >1):} a c...

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  10. Find all points of discontinuity of f, where f is defined byf(x)={{:(...

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  11. Find all points of discontinuity of f, where f is defined byf(x)={{:(...

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

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  14. Find all points of discontinuity of f, wheref(x)={{:((sinx)/x , ifx<0)...

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

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