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Evaluate the following limit : lim(x ...

Evaluate the following limit :
`lim_(x rarr 0)(tan 3x +x)/(2x+sin4x)` .

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE
  1. Evaluate the following limit : lim(x rarr 0)(cosec x -cot x) .

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  2. Evaluate the following limit : lim(y rarr 0)((x + y) sec (x + y)-x ...

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  3. Evaluate the following limit : lim(x rarr 0)(tan 3x +x)/(2x+sin4x) ...

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  4. Evaluate the following limit : lim(x rarr 0)((cosec x -cot x)/x) .

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  5. Evaluate the following limit : lim(x rarr 1)(1+cos pi x)/(1-x)^2 .

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  6. Evaluate the following limit : lim(x rarr pi/2)(1+cos2x)/(pi-2x)^2 ...

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  7. Evaluate the following limit : lim(x rarr pi/2)(tan 2x)/(x-pi/2) .

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  8. Evaluate the following limit : lim(x rarr pi)(sin 3x -3sinx)/(pi-x)...

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  9. Evaluate the following limit : lim(x rarr pi/2)(cot x)/(pi/2-x) .

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  10. Evaluate the following limit : lim(x rarr pi//2)(cos x)/(pi/2-x) .

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  11. Evaluate the following limit : lim(x rarr pi)(sinx)/(x-pi) .

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  12. Evaluate the following limit : lim(x rarr pi//4)(sinx-cosx)/(x-pi//...

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  13. Evaluate the following limit : lim(x rarr pi//4)(sinx-cosx)/(pi/4-x...

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  14. Evaluate the following limit : lim(t rarr 1)(1-1/t)/(sin[pi(t-1)]) ...

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  15. Evaluate the following limit : lim(x rarr pi/2)(pi/2-x)tanx .

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  16. Let f(x)= {(cosx,if, xge0),(x+k,if, x<0.):} Find the value of the con...

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  17. Evaluate the following limit : lim(x rarr 0)e^x .

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  18. Evaluate the following limit : lim(x rarr -oo)e^x .

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  19. Evaluate the following limit : lim(x rarr oo)e^-x .

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  20. Evaluate the following limit : lim(x rarr -oo)2^x .

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