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underset(xrarr0)"lim"(cos ec x -cot x)...

`underset(xrarr0)"lim"(cos ec x -cot x)`

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lim_(xrarr0) (cos ec x -cot x)

Consider the following statements: I. underset(xrarr0)lim (x^(2))/(x) exists. II. ((x^(2))/(x)) is not continuous at x = 0. III. underset(xrarr0)(lim)(|x|)/(x) does not exist Which of the above statements are correct?

lim_(xrarr0)(cos 2x-1)/(cosx-1)

lim_(xrarr0) x sec x

lim_(xrarr0)(cos (sinx)-1)/(x^2)=

lim_(xrarr0)x sec x

The value of lim_(xrarr0)(16-16 cos (1-cos x))/(x^(4)) is _____________

(i) lim_(xrarrpi) (cos ecx-cotx)/(x) (ii) lim_(xrarr0) (sinx-2sin3x+sin5x)/(x)

MAHAVEER PUBLICATION-LIMITS-QUESTION BANK
  1. Evaluate the following limits : lim(x rarr 1) (3x + 1) (x+ 1)

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  2. Evaluate the following limits : lim(x rarr -1) (x+1)/(x+2)

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  3. Evaluate the following limits : lim(x rarr 0) (px + q)/(ax + b)

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  4. underset(xrarr-2)"lim"((1)/(x)+(1)/(2))/(x+2)

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  5. Evaluate the following limits: lim(xto-2)((x^(2)-25)/(x-5))

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  6. Evaluate the following limits : lim(x rarr 1/3) (9x^2-1)/(3x-1)

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  7. Evaluate the following limits : lim(x rarr 2) (x^2-x-2)/ (x^2-3x+2)

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  8. Evaluate the following limits : lim(x rarr 1) [1/(x-1)-2/(x^2-1)]

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  9. Evaluate the following limits : lim(x rarr 2) (sqrt(3x-2) -x)/(2-sqr...

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  10. Evaluate the following limits : lim(x rarr 0) x/(5-|x|)

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  11. Evaluate the following limits : lim(x rarr -2) (x^11-1)/(x^7 -1)

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  12. (lim)(x->0)(cosx)/(pi-x)

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  13. (lim)(x->0)(cos2x-1)/(cosx-1)

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  14. lim(x->0)(sina x+b x)/(a x+sinb x)

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  15. underset(xrarr0)"lim"(cos ec x -cot x)

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  16. Evaluate the following limits : lim(x rarr 1) (x^(1/20)-1)/(x^(1/40)...

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  17. underset(xrarr0)"lim"(sinax)/(sinbx),a,bne0

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  18. Show that lim(x rarr 5) (|x -5|)/(x-5) does not exists.

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  19. Find the value of 'a' such that lim(x rarr 2) f(x) exists, where f(x...

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  20. If f(x)={{:(mx^(2)+n",", x lt 0), (nx+m",", 0 le x le 1), (nx^(3)+m",...

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