Home
Class 12
MATHS
मान लीजिए कि समस्त n in N f(n)={{:((n+...

मान लीजिए कि समस्त `n in N`
`f(n)={{:((n+1)/2" , if n odd"),(n/2" , if n even"):}`
द्वारा परिभाषित एक फलन `f: N to N` है। बतलाइए कि क्या फलन (bijective) है। अपने उत्तर का ओचित्य भी बतलाइए।

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f:N rarr N defined by f(n)={{:((n+1)/(2) " if n is odd"),(n/2" if n is even"):} then f is

Let f:NtoN defined by : f(n)={:{((n+1)/(2) "if n is odd"),((n)/(2) "if n is even"):}

Let f: N rarr N be defined by : f(n) = {:{((n+1)/2, if n is odd),(n/2, if n is even):} then f is

Let f: N to N be defined by f(n) = {{:((n+1)/2, " if n is odd "),(n/2, " if n is even "):} for all n in N . State whether the function f is bijective.

If f:N to N is defined by. f(n)={((n+1)/(2)", if n is odd"),((n)/(2)", if n is even"):} for all n in N . Find whether the function f is bijective.

If f: N to W is such that f(n) = {{:(n/2, "if n is even"),(0,"if n is odd"):} , then f is

Show that f: N rarr N defined by : f(n)= {((n+1)/2, if n is odd),(n/2, if n is even):} is many-one onto function.

Function f:NtoZ,f(n)={(n/2",","n even"),(-((n-1)/(2))", ","n-odd"):}

Let f:N to N be defined by f(n)={{:((n+1)/2, " if n is odd"),(n/2, "if n is even"):} for all n in N . Prove that f is many-one, onto function.