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Find lim(xrarr5)f(x), where f(x)=|x|-5...

Find `lim_(xrarr5)f(x)`, where `f(x)=|x|-5`

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Find lim_(xrarr0)f(x) , where f(x)={{:((x)/(|x|)",", x ne0),(0",",x=0):}

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Evaluate lim_(xrarr0)f(x)," where "f(x)={{:((|x|)/(x)",",x ne0),(0",",x=0):}

Suppose f(x)={{:(a+bx",",xlt1),(4",",x=1),(b-ax",",xgt1):} and if lim_(xrarr1)f(x)=f(1) what are possible values of a and b?

Let F(x) = f(x) +g(x) , G(x) = f(x) - g( x) and H(x) =(f( x))/( g(x)) where f(x) = 1- 2 sin ^(2) x and g(x) =cos (2x) AA f: R to [-1,1] and g, R to [-1,1] Now answer the following If the solution of F(x) -G (x) =0 are x_1,x_2, x_3 --------- x_n Where x in [0,5 pi] then

Evaluate the following limits in lim_(xrarr3)(x^(4)-81)/(2x^(2)-5x-3)

Evaluate the following limits in lim_(xrarr0)((x+1)^(5)-1)/(x)

If f(x)={{:(mx^(2)+n",",xlt0),(nx+m",",0lexle1),(nx^(3)+m",",xgt1):} . For what integers m and n does both lim_(xrarr0)f(x) and lim_(xrarr1)f(x) exist?

Evaluate the following limits in lim_(xrarr0)("cos "x-secx)

NCERT TELUGU-LIMITS AND DERIVATIVES-EXERCISE 13.1
  1. Evaluate the following limits in lim(xrarr0)(sinax)/(bx)

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  2. Evaluate the following limits in lim(xrarr0)(sinax)/(sinbx),a,b ne0

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  3. Evaluate the following limits in lim(xrarrpi)(sin(pi-x))/(pi(pi-x))

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  4. Evaluate the following limits in lim(xrarr0)(cosx)/(pi-x)

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  5. Evaluate the following limits in lim(xrarr0)(cos2x)/(cosx)

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  6. Evaluate the following limits in lim(xrarr0)(ax)/(b sinx)

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  7. Evaluate the following limits in lim(xrarr0)x

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  8. Evaluate the following limits in lim(xrarr0)(sinax+bx)/(ax+sinbx)a,b...

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  9. Evaluate the following limits in lim(xrarr0)("cos "x-secx)

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  10. Evaluate the following limits in lim(xrarr(pi)/(4))(tanx)

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  11. Find lim(xrarr0)f(x) and lim(xrarr1)f(x), where f(x)={{:(2x+3",",xle0)...

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  12. Find lim(xrarr1)f(x), where f(x)={{:(x^(2)-1",",xle1),(-x^(2)-1",",xgt...

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  13. Evaluate lim(xrarr0)f(x)," where "f(x)={{:((|x|)/(x)",",x ne0),(0",",x...

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  14. Find lim(xrarr0)f(x), where f(x)={{:((x)/(|x|)",", x ne0),(0",",x=0):}

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  15. Find lim(xrarr5)f(x), where f(x)=|x|-5

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  16. Suppose f(x)={{:(a+bx",",xlt1),(4",",x=1),(b-ax",",xgt1):} and if li...

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  17. Let a(1), a(2),…,a(n) be fixed real numbers and define a function f(x)...

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  18. If f(x)={{:(|x|+1",",xlt0),(0",",x=0),(|x|-1",",xgt0):} For what val...

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  19. If the function f(x) satisfies lim(xrarr1)(f(x)-2)/(x^(2)-1)=pi, evalu...

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  20. If f(x)={{:(mx^(2)+n",",xlt0),(nx+m",",0lexle1),(nx^(3)+m",",xgt1):}. ...

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